38375650909440 has 864 divisors, whose sum is σ = 149538823499520. Its totient is φ = 9015463378944.

The previous prime is 38375650909391. The next prime is 38375650909451. The reversal of 38375650909440 is 4490905657383.

38375650909440 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 56 + 50 + 90 + 9 + 440 = 666.

It is a super-2 number, since 2×38375650909440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1574115171 + ... + 1574139549.

Almost surely, 2^{38375650909440} is an apocalyptic number.

38375650909440 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 38375650909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74769411749760).

38375650909440 is an abundant number, since it is smaller than the sum of its proper divisors (111163172590080).

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

38375650909440 is a wasteful number, since it uses less digits than its factorization.

38375650909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24899 (or 24882 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 38375650909440 in words is "thirty-eight trillion, three hundred seventy-five billion, six hundred fifty million, nine hundred nine thousand, four hundred forty".