38018700720 has 1920 divisors, whose sum is σ = 189527869440. Its totient is φ = 6564741120.

The previous prime is 38018700623. The next prime is 38018700721. The reversal of 38018700720 is 2700781083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38018700721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 355314907 + ... + 355315013.

It is an arithmetic number, because the mean of its divisors is an integer number (98712432).

Almost surely, 2^38018700720 is an apocalyptic number.

38018700720 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 38018700720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94763934720).

38018700720 is an abundant number, since it is smaller than the sum of its proper divisors (151509168720).

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

38018700720 is a wasteful number, since it uses less digits than its factorization.

38018700720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 38018700720 in words is "thirty-eight billion, eighteen million, seven hundred thousand, seven hundred twenty".