3316727636400 has 60 divisors (see below), whose sum is σ = 10624584199112. Its totient is φ = 884460702720.

The previous prime is 3316727636399. The next prime is 3316727636423. The reversal of 3316727636400 is 46367276133.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3316727636400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3316727636400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1381968649 + ... + 1381971048.

Almost surely, 2^{3316727636400} is an apocalyptic number.

3316727636400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3316727636400 is an abundant number, since it is smaller than the sum of its proper divisors (7307856562712).

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

3316727636400 is a wasteful number, since it uses less digits than its factorization.

3316727636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763939718 (or 2763939707 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 3316727636400 in words is "three trillion, three hundred sixteen billion, seven hundred twenty-seven million, six hundred thirty-six thousand, four hundred".