3713476166400 has 1728 divisors, whose sum is σ = 16808780169216. Its totient is φ = 696950784000.

The previous prime is 3713476166357. The next prime is 3713476166419. The reversal of 3713476166400 is 46616743173.

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 3713476166400.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 903300345 + ... + 903304455.

Almost surely, 2^{3713476166400} is an apocalyptic number.

3713476166400 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 3713476166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404390084608).

3713476166400 is an abundant number, since it is smaller than the sum of its proper divisors (13095304002816).

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

3713476166400 is a wasteful number, since it uses less digits than its factorization.

3713476166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 3713476166400 in words is "three trillion, seven hundred thirteen billion, four hundred seventy-six million, one hundred sixty-six thousand, four hundred".