38025616320 has 448 divisors, whose sum is σ = 145896543360. Its totient is φ = 9284419584.

The previous prime is 38025616297. The next prime is 38025616339. The reversal of 38025616320 is 2361652083.

It is a happy number.

38025616320 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 5 + 616 + 32 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 5431062 + ... + 5438058.

Almost surely, 2^38025616320 is an apocalyptic number.

38025616320 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 38025616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72948271680).

38025616320 is an abundant number, since it is smaller than the sum of its proper divisors (107870927040).

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

38025616320 is a wasteful number, since it uses less digits than its factorization.

38025616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38025616320 in words is "thirty-eight billion, twenty-five million, six hundred sixteen thousand, three hundred twenty".