38758072320 has 840 divisors, whose sum is σ = 154717909920. Its totient is φ = 9236643840.

The previous prime is 38758072289. The next prime is 38758072333. The reversal of 38758072320 is 2327085783.

38758072320 is a `hidden beast` number, since 38 + 7 + 580 + 7 + 2 + 32 + 0 = 666.

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 55 ways as a sum of consecutive naturals, for example, 656916451 + ... + 656916509.

It is an arithmetic number, because the mean of its divisors is an integer number (184187988).

Almost surely, 2^38758072320 is an apocalyptic number.

38758072320 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 38758072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77358954960).

38758072320 is an abundant number, since it is smaller than the sum of its proper divisors (115959837600).

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

38758072320 is an frugal number, since it uses more digits than its factorization.

38758072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 38758072320 in words is "thirty-eight billion, seven hundred fifty-eight million, seventy-two thousand, three hundred twenty".