3476402012160 has 2040 divisors, whose sum is σ = 15881413797216. Its totient is φ = 722369249280.

The previous prime is 3476402012159. The next prime is 3476402012231. The reversal of 3476402012160 is 612102046743.

3476402012160 is a `hidden beast` number, since 3 + 4 + 7 + 640 + 2 + 0 + 1 + 2 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 316036546555 + ... + 316036546565.

Almost surely, 2^{3476402012160} is an apocalyptic number.

3476402012160 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 3476402012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940706898608).

3476402012160 is an abundant number, since it is smaller than the sum of its proper divisors (12405011785056).

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

3476402012160 is an frugal number, since it uses more digits than its factorization.

3476402012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3476402012160 in words is "three trillion, four hundred seventy-six billion, four hundred two million, twelve thousand, one hundred sixty".