3983313792 has 256 divisors, whose sum is σ = 11837793600. Its totient is φ = 1180827648.

The previous prime is 3983313769. The next prime is 3983313823. The reversal of 3983313792 is 2973133893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10033338 + ... + 10033734.

Almost surely, 2^3983313792 is an apocalyptic number.

3983313792 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 3983313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918896800).

3983313792 is an abundant number, since it is smaller than the sum of its proper divisors (7854479808).

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

3983313792 is a wasteful number, since it uses less digits than its factorization.

3983313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 3983313792 is about 63113.4992850183. The cubic root of 3983313792 is about 1585.1906668565.

The spelling of 3983313792 in words is "three billion, nine hundred eighty-three million, three hundred thirteen thousand, seven hundred ninety-two".