3138600960 has 600 divisors, whose sum is σ = 12560508576. Its totient is φ = 743178240.

The previous prime is 3138600947. The next prime is 3138600977. The reversal of 3138600960 is 690068313.

It is a happy number.

It is a super-2 number, since 2×3138600960² = 19701631972225843200, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 72990699 + ... + 72990741.

Almost surely, 2^3138600960 is an apocalyptic number.

3138600960 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 3138600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280254288).

3138600960 is an abundant number, since it is smaller than the sum of its proper divisors (9421907616).

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

3138600960 is an equidigital number, since it uses as much as digits as its factorization.

3138600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3138600960 is about 56023.2180439503. The cubic root of 3138600960 is about 1464.1268366325.

The spelling of 3138600960 in words is "three billion, one hundred thirty-eight million, six hundred thousand, nine hundred sixty".