38087513320 has 192 divisors, whose sum is σ = 95796101520. Its totient is φ = 13579517952.

The previous prime is 38087513311. The next prime is 38087513333. The reversal of 38087513320 is 2331578083.

It can be written as a sum of positive squares in 8 ways, for example, as 2500200004 + 35587313316 = 50002^2 + 188646^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 40647892 + ... + 40648828.

Almost surely, 2^38087513320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38087513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47898050760).

38087513320 is an abundant number, since it is smaller than the sum of its proper divisors (57708588200).

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

38087513320 is a wasteful number, since it uses less digits than its factorization.

38087513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 38087513320 in words is "thirty-eight billion, eighty-seven million, five hundred thirteen thousand, three hundred twenty".