38660997600 has 288 divisors, whose sum is σ = 140571002880. Its totient is φ = 10254528000.

The previous prime is 38660997577. The next prime is 38660997649. The reversal of 38660997600 is 679906683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4120915 + ... + 4130285.

It is an arithmetic number, because the mean of its divisors is an integer number (488093760).

Almost surely, 2^38660997600 is an apocalyptic number.

38660997600 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 38660997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70285501440).

38660997600 is an abundant number, since it is smaller than the sum of its proper divisors (101910005280).

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

38660997600 is a wasteful number, since it uses less digits than its factorization.

38660997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9591 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 38660997600 in words is "thirty-eight billion, six hundred sixty million, nine hundred ninety-seven thousand, six hundred".