38362607136 has 144 divisors (see below), whose sum is σ = 128700569088. Its totient is φ = 10607155200.

The previous prime is 38362607123. The next prime is 38362607137. The reversal of 38362607136 is 63170626383.

38362607136 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 2 + 607 + 1 + 36 = 666.

38362607136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 38362607091 and 38362607100.

It is not an unprimeable number, because it can be changed into a prime (38362607137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244425 + ... + 369416.

It is an arithmetic number, because the mean of its divisors is an integer number (893753952).

Almost surely, 2^38362607136 is an apocalyptic number.

38362607136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38362607136 is an abundant number, since it is smaller than the sum of its proper divisors (90337961952).

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

38362607136 is a wasteful number, since it uses less digits than its factorization.

38362607136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613895 (or 613884 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 38362607136 in words is "thirty-eight billion, three hundred sixty-two million, six hundred seven thousand, one hundred thirty-six".