38033916898320 has 720 divisors, whose sum is σ = 151213022840880. Its totient is φ = 8540926377984.

The previous prime is 38033916898303. The next prime is 38033916898399. The reversal of 38033916898320 is 2389861933083.

38033916898320 is a `hidden beast` number, since 3 + 80 + 3 + 3 + 91 + 68 + 98 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1758785220864 + 36275131677456 = 1326192^2 + 6022884^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 492928864 + ... + 493006016.

It is an arithmetic number, because the mean of its divisors is an integer number (210018087279).

Almost surely, 2^{38033916898320} is an apocalyptic number.

38033916898320 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 38033916898320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75606511420440).

38033916898320 is an abundant number, since it is smaller than the sum of its proper divisors (113179105942560).

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

38033916898320 is a wasteful number, since it uses less digits than its factorization.

38033916898320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77432 (or 77416 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 38033916898320 in words is "thirty-eight trillion, thirty-three billion, nine hundred sixteen million, eight hundred ninety-eight thousand, three hundred twenty".