3132138240 has 864 divisors, whose sum is σ = 14092807680. Its totient is φ = 644751360.

The previous prime is 3132138223. The next prime is 3132138253. The reversal of 3132138240 is 428312313.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29272267 + ... + 29272373.

It is an arithmetic number, because the mean of its divisors is an integer number (16311120).

Almost surely, 2^3132138240 is an apocalyptic number.

3132138240 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 3132138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046403840).

3132138240 is an abundant number, since it is smaller than the sum of its proper divisors (10960669440).

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

3132138240 is a wasteful number, since it uses less digits than its factorization.

3132138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3132138240 is about 55965.5093785449. The cubic root of 3132138240 is about 1463.1212140697.

The spelling of 3132138240 in words is "three billion, one hundred thirty-two million, one hundred thirty-eight thousand, two hundred forty".