38536601040 has 640 divisors, whose sum is σ = 162761011200. Its totient is φ = 8184084480.

The previous prime is 38536601027. The next prime is 38536601041. The reversal of 38536601040 is 4010663583.

38536601040 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 6 + 601 + 0 + 40 = 666.

It is a super-2 number, since 2×38536601040² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38536600986 and 38536601004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38536601041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15224575 + ... + 15227105.

It is an arithmetic number, because the mean of its divisors is an integer number (254314080).

Almost surely, 2^38536601040 is an apocalyptic number.

38536601040 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 38536601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81380505600).

38536601040 is an abundant number, since it is smaller than the sum of its proper divisors (124224410160).

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

38536601040 is a wasteful number, since it uses less digits than its factorization.

38536601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38536601040 in words is "thirty-eight billion, five hundred thirty-six million, six hundred one thousand, forty".