38003696640 has 1760 divisors, whose sum is σ = 179761317120. Its totient is φ = 7453016064.

The previous prime is 38003696617. The next prime is 38003696663. The reversal of 38003696640 is 4669630083.

It is an interprime number because it is at equal distance from previous prime (38003696617) and next prime (38003696663).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 717050854 + ... + 717050906.

It is an arithmetic number, because the mean of its divisors is an integer number (102137112).

Almost surely, 2^38003696640 is an apocalyptic number.

38003696640 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 38003696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89880658560).

38003696640 is an abundant number, since it is smaller than the sum of its proper divisors (141757620480).

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

38003696640 is a wasteful number, since it uses less digits than its factorization.

38003696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 38003696640 in words is "thirty-eight billion, three million, six hundred ninety-six thousand, six hundred forty".