3728588976 has 80 divisors (see below), whose sum is σ = 12231360000. Its totient is φ = 1065310272.

The previous prime is 3728588951. The next prime is 3728588989. The reversal of 3728588976 is 6798858273.

3728588976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613476 + ... + 619523.

It is an arithmetic number, because the mean of its divisors is an integer number (152892000).

Almost surely, 2^3728588976 is an apocalyptic number.

3728588976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3728588976 is an abundant number, since it is smaller than the sum of its proper divisors (8502771024).

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

3728588976 is a wasteful number, since it uses less digits than its factorization.

3728588976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233023 (or 1233011 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The square root of 3728588976 is about 61062.1730369957. The cubic root of 3728588976 is about 1550.6537618161.

It can be divided in two parts, 3728 and 588976, that added together give a cube (592704 = 84³).

The spelling of 3728588976 in words is "three billion, seven hundred twenty-eight million, five hundred eighty-eight thousand, nine hundred seventy-six".