3135982080 has 320 divisors, whose sum is σ = 12501485568. Its totient is φ = 651509760.

The previous prime is 3135982079. The next prime is 3135982117. The reversal of 3135982080 is 802895313.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3135982080² = 19668767212162252800, which contains 22 as substring.

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, 588709 + ... + 594011.

Almost surely, 2^3135982080 is an apocalyptic number.

3135982080 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 3135982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250742784).

3135982080 is an abundant number, since it is smaller than the sum of its proper divisors (9365503488).

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

3135982080 is a wasteful number, since it uses less digits than its factorization.

3135982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3135982080 is about 55999.8399997714. The cubic root of 3135982080 is about 1463.7194959614.

The spelling of 3135982080 in words is "three billion, one hundred thirty-five million, nine hundred eighty-two thousand, eighty".