3123913728 has 352 divisors, whose sum is σ = 9904204800. Its totient is φ = 866156544.

The previous prime is 3123913717. The next prime is 3123913729. The reversal of 3123913728 is 8273193213.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123913729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17451943 + ... + 17452121.

Almost surely, 2^3123913728 is an apocalyptic number.

3123913728 is a gapful number since it is divisible by the number (38) 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 3123913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952102400).

3123913728 is an abundant number, since it is smaller than the sum of its proper divisors (6780291072).

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

3123913728 is a wasteful number, since it uses less digits than its factorization.

3123913728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 3123913728 is about 55891.9826808819. The cubic root of 3123913728 is about 1461.8394479491.

It can be divided in two parts, 312 and 3913728, that multiplied together give a square (1221083136 = 34944²).

The spelling of 3123913728 in words is "three billion, one hundred twenty-three million, nine hundred thirteen thousand, seven hundred twenty-eight".