38303903232 has 240 divisors, whose sum is σ = 126642653280. Its totient is φ = 10917789696.

The previous prime is 38303903227. The next prime is 38303903249. The reversal of 38303903232 is 23230930383.

38303903232 is a `hidden beast` number, since 3 + 8 + 30 + 390 + 3 + 232 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16417138 + ... + 16419470.

It is an arithmetic number, because the mean of its divisors is an integer number (527677722).

Almost surely, 2^38303903232 is an apocalyptic number.

38303903232 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 38303903232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63321326640).

38303903232 is an abundant number, since it is smaller than the sum of its proper divisors (88338750048).

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

38303903232 is a wasteful number, since it uses less digits than its factorization.

38303903232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 38303903232 in words is "thirty-eight billion, three hundred three million, nine hundred three thousand, two hundred thirty-two".