38904053760 has 1200 divisors, whose sum is σ = 167854069152. Its totient is φ = 8493465600.

The previous prime is 38904053759. The next prime is 38904053761. The reversal of 38904053760 is 6735040983.

It is an interprime number because it is at equal distance from previous prime (38904053759) and next prime (38904053761).

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

It is not an unprimeable number, because it can be changed into a prime (38904053761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 948879340 + ... + 948879380.

Almost surely, 2^38904053760 is an apocalyptic number.

38904053760 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 38904053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83927034576).

38904053760 is an abundant number, since it is smaller than the sum of its proper divisors (128950015392).

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

38904053760 is a wasteful number, since it uses less digits than its factorization.

38904053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 38904053760 in words is "thirty-eight billion, nine hundred four million, fifty-three thousand, seven hundred sixty".