38773624320 has 480 divisors, whose sum is σ = 140497445088. Its totient is φ = 10247897088.

The previous prime is 38773624277. The next prime is 38773624363. The reversal of 38773624320 is 2342637783.

38773624320 is a `hidden beast` number, since 387 + 7 + 3 + 6 + 243 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (38773624277) and next prime (38773624363).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 97666362 + ... + 97666758.

Almost surely, 2^38773624320 is an apocalyptic number.

38773624320 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 38773624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70248722544).

38773624320 is an abundant number, since it is smaller than the sum of its proper divisors (101723820768).

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

38773624320 is an equidigital number, since it uses as much as digits as its factorization.

38773624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 38773624320 in words is "thirty-eight billion, seven hundred seventy-three million, six hundred twenty-four thousand, three hundred twenty".