3474800476160 has 256 divisors, whose sum is σ = 9035588318400. Its totient is φ = 1275190050816.

The previous prime is 3474800476129. The next prime is 3474800476181. The reversal of 3474800476160 is 616740084743.

It is a tau number, because it is divible by the number of its divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 3474800476099 and 3474800476108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355691756 + ... + 355701524.

Almost surely, 2^{3474800476160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3474800476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517794159200).

3474800476160 is an abundant number, since it is smaller than the sum of its proper divisors (5560787842240).

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

3474800476160 is an equidigital number, since it uses as much as digits as its factorization.

3474800476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984 (or 9956 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

The spelling of 3474800476160 in words is "three trillion, four hundred seventy-four billion, eight hundred million, four hundred seventy-six thousand, one hundred sixty".