3102870960 has 240 divisors, whose sum is σ = 11939503680. Its totient is φ = 707420160.

The previous prime is 3102870907. The next prime is 3102870961. The reversal of 3102870960 is 690782013.

3102870960 is a `hidden beast` number, since 310 + 287 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3102870960² = 19255616388822643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3102870961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3835036 + ... + 3835844.

It is an arithmetic number, because the mean of its divisors is an integer number (49747932).

Almost surely, 2^3102870960 is an apocalyptic number.

3102870960 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 3102870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969751840).

3102870960 is an abundant number, since it is smaller than the sum of its proper divisors (8836632720).

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

3102870960 is a wasteful number, since it uses less digits than its factorization.

3102870960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3102870960 is about 55703.4196436808. The cubic root of 3102870960 is about 1458.5497201704.

The spelling of 3102870960 in words is "three billion, one hundred two million, eight hundred seventy thousand, nine hundred sixty".