38039984640 has 800 divisors, whose sum is σ = 158283797760. Its totient is φ = 8551858176.

The previous prime is 38039984621. The next prime is 38039984651. The reversal of 38039984640 is 4648993083.

It is a happy number.

It is a super-2 number, since 2×38039984640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105960781 + ... + 105961139.

Almost surely, 2^38039984640 is an apocalyptic number.

38039984640 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 38039984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79141898880).

38039984640 is an abundant number, since it is smaller than the sum of its proper divisors (120243813120).

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

38039984640 is an equidigital number, since it uses as much as digits as its factorization.

38039984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38039984640 in words is "thirty-eight billion, thirty-nine million, nine hundred eighty-four thousand, six hundred forty".