3352957924680 has 2304 divisors, whose sum is σ = 14963719680000. Its totient is φ = 659242561536.

The previous prime is 3352957924639. The next prime is 3352957924681. The reversal of 3352957924680 is 864297592533.

3352957924680 is a `hidden beast` number, since 3 + 3 + 52 + 9 + 579 + 2 + 4 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×3352957924680² (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 not an unprimeable number, because it can be changed into a prime (3352957924681) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22503073246 + ... + 22503073394.

It is an arithmetic number, because the mean of its divisors is an integer number (6494670000).

Almost surely, 2^{3352957924680} is an apocalyptic number.

3352957924680 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 3352957924680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481859840000).

3352957924680 is an abundant number, since it is smaller than the sum of its proper divisors (11610761755320).

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

3352957924680 is a wasteful number, since it uses less digits than its factorization.

3352957924680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3352957924680 in words is "three trillion, three hundred fifty-two billion, nine hundred fifty-seven million, nine hundred twenty-four thousand, six hundred eighty".