3136942080 has 520 divisors, whose sum is σ = 11798185344. Its totient is φ = 796262400.

The previous prime is 3136942007. The next prime is 3136942163. The reversal of 3136942080 is 802496313.

It is a super-2 number, since 2×3136942080² = 19680811226549452800, 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, 51425250 + ... + 51425310.

It is a vampire number, since it can be written as 34038 ⋅ 92160 (with its own digits).

Almost surely, 2^3136942080 is an apocalyptic number.

3136942080 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 3136942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899092672).

3136942080 is an abundant number, since it is smaller than the sum of its proper divisors (8661243264).

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

3136942080 is an equidigital number, since it uses as much as digits as its factorization.

3136942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3136942080 is about 56008.4107969508. The cubic root of 3136942080 is about 1463.8688407088.

The spelling of 3136942080 in words is "three billion, one hundred thirty-six million, nine hundred forty-two thousand, eighty".