3358979850240 has 1360 divisors, whose sum is σ = 13976740356480. Its totient is φ = 755918438400.

The previous prime is 3358979850203. The next prime is 3358979850241. The reversal of 3358979850240 is 420589798533.

3358979850240 is a `hidden beast` number, since 3 + 3 + 5 + 89 + 7 + 9 + 8 + 502 + 40 = 666.

It is a super-2 number, since 2×3358979850240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3358979850241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18765250471 + ... + 18765250649.

It is an arithmetic number, because the mean of its divisors is an integer number (10277014968).

Almost surely, 2^{3358979850240} is an apocalyptic number.

3358979850240 is a gapful number since it is divisible by the number (30) 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 3358979850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988370178240).

3358979850240 is an abundant number, since it is smaller than the sum of its proper divisors (10617760506240).

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

3358979850240 is an equidigital number, since it uses as much as digits as its factorization.

3358979850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3358979850240 in words is "three trillion, three hundred fifty-eight billion, nine hundred seventy-nine million, eight hundred fifty thousand, two hundred forty".