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3378358997376 = 273113124153383
BaseRepresentation
bin110001001010010101111…
…000110101000110000000
3102221222010122110210210020
4301022111320311012000
5420322334400404001
611103555141533440
7466035612446016
oct61122570650600
912858118423706
103378358997376
111092832642540
124668b9714280
131b676880283c
14b9728c888b6
155cd2b2c3736
hex31295e35180

3378358997376 has 768 divisors, whose sum is σ = 10585343139840. Its totient is φ = 945844224000.

The previous prime is 3378358997371. The next prime is 3378358997381. The reversal of 3378358997376 is 6737998538733.

It is an interprime number because it is at equal distance from previous prime (3378358997371) and next prime (3378358997381).

It is a super-2 number, since 2×33783589973762 (a number of 26 digits) contains 22 as substring.

Its product of digits (4320812160) is a multiple of the sum of its prime factors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378358997371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8820780481 + ... + 8820780863.

It is an arithmetic number, because the mean of its divisors is an integer number (13782998880).

Almost surely, 23378358997376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378358997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292671569920).

3378358997376 is an abundant number, since it is smaller than the sum of its proper divisors (7206984142464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3378358997376 is a wasteful number, since it uses less digits than its factorization.

3378358997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 524 counting only the distinct ones).

The product of its digits is 4320812160, while the sum is 78.

It can be divided in two parts, 3378358 and 997376, that added together give a palindrome (4375734).

The spelling of 3378358997376 in words is "three trillion, three hundred seventy-eight billion, three hundred fifty-eight million, nine hundred ninety-seven thousand, three hundred seventy-six".