3512466880 has 224 divisors, whose sum is σ = 9332366400. Its totient is φ = 1251115008.

The previous prime is 3512466871. The next prime is 3512466913. The reversal of 3512466880 is 886642153.

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, 19622631 + ... + 19622809.

It is an arithmetic number, because the mean of its divisors is an integer number (41662350).

Almost surely, 2^3512466880 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 3512466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666183200).

3512466880 is an abundant number, since it is smaller than the sum of its proper divisors (5819899520).

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

3512466880 is a wasteful number, since it uses less digits than its factorization.

3512466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 3512466880 is about 59266.0685384141. The cubic root of 3512466880 is about 1520.0950540741.

The spelling of 3512466880 in words is "three billion, five hundred twelve million, four hundred sixty-six thousand, eight hundred eighty".