3415760880 has 160 divisors (see below), whose sum is σ = 12300307968. Its totient is φ = 767923200.

The previous prime is 3415760869. The next prime is 3415760897. The reversal of 3415760880 is 880675143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85815 + ... + 119145.

Almost surely, 2^3415760880 is an apocalyptic number.

3415760880 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 3415760880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150153984).

3415760880 is an abundant number, since it is smaller than the sum of its proper divisors (8884547088).

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

3415760880 is a wasteful number, since it uses less digits than its factorization.

3415760880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33415 (or 33409 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 3415760880 is about 58444.5111195226. The cubic root of 3415760880 is about 1506.0145005120.

The spelling of 3415760880 in words is "three billion, four hundred fifteen million, seven hundred sixty thousand, eight hundred eighty".