3361155464400 has 120 divisors (see below), whose sum is σ = 10807841140800. Its totient is φ = 892900024320.

The previous prime is 3361155464357. The next prime is 3361155464413. The reversal of 3361155464400 is 44645511633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3361155464400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 5009425 + ... + 5640624.

It is an arithmetic number, because the mean of its divisors is an integer number (90065342840).

Almost surely, 2^{3361155464400} is an apocalyptic number.

3361155464400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3361155464400 is an abundant number, since it is smaller than the sum of its proper divisors (7446685676400).

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

3361155464400 is a wasteful number, since it uses less digits than its factorization.

3361155464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10650333 (or 10650322 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 3361155464400 in words is "three trillion, three hundred sixty-one billion, one hundred fifty-five million, four hundred sixty-four thousand, four hundred".