38368320000 has 400 divisors, whose sum is σ = 135299590272. Its totient is φ = 9625600000.

The previous prime is 38368319953. The next prime is 38368320013. The reversal of 38368320000 is 2386383.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16318825 + ... + 16321175.

Almost surely, 2^38368320000 is an apocalyptic number.

38368320000 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 38368320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67649795136).

38368320000 is an abundant number, since it is smaller than the sum of its proper divisors (96931270272).

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

38368320000 is an equidigital number, since it uses as much as digits as its factorization.

38368320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 38368320000 in words is "thirty-eight billion, three hundred sixty-eight million, three hundred twenty thousand".