38150624640 has 256 divisors, whose sum is σ = 126093542400. Its totient is φ = 9804103680.

The previous prime is 38150624639. The next prime is 38150624669. The reversal of 38150624640 is 4642605183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6530841 + ... + 6536679.

It is an arithmetic number, because the mean of its divisors is an integer number (492552900).

Almost surely, 2^38150624640 is an apocalyptic number.

38150624640 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 38150624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63046771200).

38150624640 is an abundant number, since it is smaller than the sum of its proper divisors (87942917760).

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

38150624640 is a wasteful number, since it uses less digits than its factorization.

38150624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 38150624640 in words is "thirty-eight billion, one hundred fifty million, six hundred twenty-four thousand, six hundred forty".