38093332320 has 576 divisors, whose sum is σ = 141808665600. Its totient is φ = 9548098560.

The previous prime is 38093332259. The next prime is 38093332337. The reversal of 38093332320 is 2323339083.

It is a super-2 number, since 2×38093332320² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180537015 + ... + 180537225.

It is an arithmetic number, because the mean of its divisors is an integer number (246195600).

Almost surely, 2^38093332320 is an apocalyptic number.

38093332320 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 38093332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70904332800).

38093332320 is an abundant number, since it is smaller than the sum of its proper divisors (103715333280).

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

38093332320 is a wasteful number, since it uses less digits than its factorization.

38093332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 323 counting only the distinct ones).

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

The spelling of 38093332320 in words is "thirty-eight billion, ninety-three million, three hundred thirty-two thousand, three hundred twenty".