3352362404400 has 180 divisors, whose sum is σ = 12034788742080. Its totient is φ = 863136960000.

The previous prime is 3352362404353. The next prime is 3352362404411. The reversal of 3352362404400 is 44042632533.

3352362404400 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 3 + 6 + 240 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3352362404400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 15950976 + ... + 16159775.

It is an arithmetic number, because the mean of its divisors is an integer number (66859937456).

Almost surely, 2^{3352362404400} is an apocalyptic number.

3352362404400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3352362404400 is an abundant number, since it is smaller than the sum of its proper divisors (8682426337680).

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

3352362404400 is a wasteful number, since it uses less digits than its factorization.

3352362404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32110804 (or 32110790 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The spelling of 3352362404400 in words is "three trillion, three hundred fifty-two billion, three hundred sixty-two million, four hundred four thousand, four hundred".