3352847341536 has 1920 divisors, whose sum is σ = 13596594536448. Its totient is φ = 783820800000.

The previous prime is 3352847341523. The next prime is 3352847341601. The reversal of 3352847341536 is 6351437482533.

3352847341536 is a `hidden beast` number, since 3 + 3 + 5 + 28 + 47 + 3 + 41 + 536 = 666.

It is a super-2 number, since 2×3352847341536² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13357957411 + ... + 13357957661.

Almost surely, 2^{3352847341536} is an apocalyptic number.

3352847341536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3352847341536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798297268224).

3352847341536 is an abundant number, since it is smaller than the sum of its proper divisors (10243747194912).

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

3352847341536 is a wasteful number, since it uses less digits than its factorization.

3352847341536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 3352847341536 in words is "three trillion, three hundred fifty-two billion, eight hundred forty-seven million, three hundred forty-one thousand, five hundred thirty-six".