3149632512 has 440 divisors, whose sum is σ = 10652522496. Its totient is φ = 919683072.

The previous prime is 3149632487. The next prime is 3149632513. The reversal of 3149632512 is 2152369413.

3149632512 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 632 + 5 + 12 = 666.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3149632513) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24800193 + ... + 24800319.

Almost surely, 2^3149632512 is an apocalyptic number.

3149632512 is a gapful number since it is divisible by the number (32) 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 3149632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326261248).

3149632512 is an abundant number, since it is smaller than the sum of its proper divisors (7502889984).

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

3149632512 is a wasteful number, since it uses less digits than its factorization.

3149632512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3149632512 is about 56121.5868628106. The cubic root of 3149632512 is about 1465.8402014091.

The spelling of 3149632512 in words is "three billion, one hundred forty-nine million, six hundred thirty-two thousand, five hundred twelve".