3355125302400 has 192 divisors, whose sum is σ = 11160362476800. Its totient is φ = 885841408000.

The previous prime is 3355125302339. The next prime is 3355125302411. The reversal of 3355125302400 is 42035215533.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3355125302400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760560 + ... + 2699759.

It is an arithmetic number, because the mean of its divisors is an integer number (58126887900).

Almost surely, 2^{3355125302400} is an apocalyptic number.

3355125302400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3355125302400 is an abundant number, since it is smaller than the sum of its proper divisors (7805237174400).

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

3355125302400 is a wasteful number, since it uses less digits than its factorization.

3355125302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460447 (or 3460430 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 3355125302400 in words is "three trillion, three hundred fifty-five billion, one hundred twenty-five million, three hundred two thousand, four hundred".