38504250624 has 288 divisors, whose sum is σ = 121667906304. Its totient is φ = 10581442560.

The previous prime is 38504250599. The next prime is 38504250641. The reversal of 38504250624 is 42605240583.

It is a Cunningham number, because it is equal to 196225²-1.

It is a super-2 number, since 2×38504250624² (a number of 22 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 31 ways as a sum of consecutive naturals, for example, 16089172 + ... + 16091564.

It is an arithmetic number, because the mean of its divisors is an integer number (422458008).

Almost surely, 2^38504250624 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 38504250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60833953152).

38504250624 is an abundant number, since it is smaller than the sum of its proper divisors (83163655680).

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

38504250624 is a wasteful number, since it uses less digits than its factorization.

38504250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 38504250624 in words is "thirty-eight billion, five hundred four million, two hundred fifty thousand, six hundred twenty-four".