3512544960 has 224 divisors, whose sum is σ = 11603736000. Its totient is φ = 899153920.

The previous prime is 3512544899. The next prime is 3512544979. The reversal of 3512544960 is 694452153.

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, 7822816 + ... + 7823264.

Almost surely, 2^3512544960 is an apocalyptic number.

3512544960 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 3512544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801868000).

3512544960 is an abundant number, since it is smaller than the sum of its proper divisors (8091191040).

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

3512544960 is a wasteful number, since it uses less digits than its factorization.

3512544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 3512544960 is about 59266.7272590616. The cubic root of 3512544960 is about 1520.1063175864.

The spelling of 3512544960 in words is "three billion, five hundred twelve million, five hundred forty-four thousand, nine hundred sixty".