38112560640 has 1800 divisors, whose sum is σ = 180172593216. Its totient is φ = 7664025600.

The previous prime is 38112560639. The next prime is 38112560653. The reversal of 38112560640 is 4606521183.

It is a happy number.

38112560640 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 2 + 5 + 6 + 0 + 640 = 666.

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 = 38112560595 and 38112560604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1229437425 + ... + 1229437455.

Almost surely, 2^38112560640 is an apocalyptic number.

38112560640 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 38112560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90086296608).

38112560640 is an abundant number, since it is smaller than the sum of its proper divisors (142060032576).

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

38112560640 is a wasteful number, since it uses less digits than its factorization.

38112560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 38112560640 in words is "thirty-eight billion, one hundred twelve million, five hundred sixty thousand, six hundred forty".