3126087360 has 336 divisors, whose sum is σ = 11858195232. Its totient is φ = 749568000.

The previous prime is 3126087331. The next prime is 3126087361. The reversal of 3126087360 is 637806213.

It is a happy number.

3126087360 is a `hidden beast` number, since 3 + 12 + 608 + 7 + 36 + 0 = 666.

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 (3126087361) 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, 3199192 + ... + 3200168.

Almost surely, 2^3126087360 is an apocalyptic number.

3126087360 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 3126087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929097616).

3126087360 is an abundant number, since it is smaller than the sum of its proper divisors (8732107872).

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

3126087360 is a wasteful number, since it uses less digits than its factorization.

3126087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3126087360 is about 55911.4242351239. The cubic root of 3126087360 is about 1462.1784206387.

The spelling of 3126087360 in words is "three billion, one hundred twenty-six million, eighty-seven thousand, three hundred sixty".