3474712166400 has 912 divisors, whose sum is σ = 12989315282400. Its totient is φ = 910499512320.

The previous prime is 3474712166399. The next prime is 3474712166407. The reversal of 3474712166400 is 46612174743.

3474712166400 is a `hidden beast` number, since 3 + 4 + 74 + 7 + 12 + 166 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3474712166407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12917145466 + ... + 12917145734.

Almost surely, 2^{3474712166400} is an apocalyptic number.

3474712166400 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 3474712166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494657641200).

3474712166400 is an abundant number, since it is smaller than the sum of its proper divisors (9514603116000).

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

3474712166400 is an frugal number, since it uses more digits than its factorization.

3474712166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 3474712166400 in words is "three trillion, four hundred seventy-four billion, seven hundred twelve million, one hundred sixty-six thousand, four hundred".