38150507520 has 440 divisors, whose sum is σ = 138851350704. Its totient is φ = 10014326784.

The previous prime is 38150507471. The next prime is 38150507557. The reversal of 38150507520 is 2570505183.

38150507520 is a `hidden beast` number, since 3 + 81 + 5 + 0 + 50 + 7 + 520 = 666.

It is a super-2 number, since 2×38150507520² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27785554 + ... + 27786926.

Almost surely, 2^38150507520 is an apocalyptic number.

38150507520 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 38150507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69425675352).

38150507520 is an abundant number, since it is smaller than the sum of its proper divisors (100700843184).

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

38150507520 is a wasteful number, since it uses less digits than its factorization.

38150507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 38150507520 in words is "thirty-eight billion, one hundred fifty million, five hundred seven thousand, five hundred twenty".