3938232960 has 448 divisors, whose sum is σ = 14769665280. Its totient is φ = 1001797632.

The previous prime is 3938232953. The next prime is 3938233021. The reversal of 3938232960 is 692328393.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10730697 + ... + 10731063.

Almost surely, 2^3938232960 is an apocalyptic number.

3938232960 is a gapful number since it is divisible by the number (30) 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 3938232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384832640).

3938232960 is an abundant number, since it is smaller than the sum of its proper divisors (10831432320).

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

3938232960 is an equidigital number, since it uses as much as digits as its factorization.

3938232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3938232960 is about 62755.3420833637. The cubic root of 3938232960 is about 1579.1878751113.

The spelling of 3938232960 in words is "three billion, nine hundred thirty-eight million, two hundred thirty-two thousand, nine hundred sixty".