38617535040 has 336 divisors, whose sum is σ = 144769344192. Its totient is φ = 8694411264.

The previous prime is 38617535039. The next prime is 38617535051. The reversal of 38617535040 is 4053571683.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38617534983 and 38617535001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3145554 + ... + 3157806.

Almost surely, 2^38617535040 is an apocalyptic number.

38617535040 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 38617535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72384672096).

38617535040 is an abundant number, since it is smaller than the sum of its proper divisors (106151809152).

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

38617535040 is a wasteful number, since it uses less digits than its factorization.

38617535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12354 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 38617535040 in words is "thirty-eight billion, six hundred seventeen million, five hundred thirty-five thousand, forty".