38631306240 has 176 divisors, whose sum is σ = 137289178560. Its totient is φ = 10301644800.

The previous prime is 38631306199. The next prime is 38631306247. The reversal of 38631306240 is 4260313683.

38631306240 is a `hidden beast` number, since 3 + 86 + 31 + 306 + 240 = 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 = 38631306195 and 38631306204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38631306247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1486 + ... + 277965.

Almost surely, 2^38631306240 is an apocalyptic number.

38631306240 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 38631306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68644589280).

38631306240 is an abundant number, since it is smaller than the sum of its proper divisors (98657872320).

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

38631306240 is a wasteful number, since it uses less digits than its factorization.

38631306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279485 (or 279461 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 38631306240 in words is "thirty-eight billion, six hundred thirty-one million, three hundred six thousand, two hundred forty".