3013952832 has 336 divisors, whose sum is σ = 9985248000. Its totient is φ = 860590080.

The previous prime is 3013952801. The next prime is 3013952833. The reversal of 3013952832 is 2382593103.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013952833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8635794 + ... + 8636142.

It is an arithmetic number, because the mean of its divisors is an integer number (29718000).

Almost surely, 2^3013952832 is an apocalyptic number.

3013952832 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 3013952832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624000).

3013952832 is an abundant number, since it is smaller than the sum of its proper divisors (6971295168).

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

3013952832 is a wasteful number, since it uses less digits than its factorization.

3013952832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 441 counting only the distinct ones).

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

The square root of 3013952832 is about 54899.4793417934. The cubic root of 3013952832 is about 1444.4820534867.

The spelling of 3013952832 in words is "three billion, thirteen million, nine hundred fifty-two thousand, eight hundred thirty-two".