38451868500 has 384 divisors, whose sum is σ = 120827266560. Its totient is φ = 9483264000.

The previous prime is 38451868463. The next prime is 38451868513. The reversal of 38451868500 is 586815483.

It is a super-2 number, since 2×38451868500² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38451868500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114100332 + ... + 114100668.

It is an arithmetic number, because the mean of its divisors is an integer number (314654340).

Almost surely, 2^38451868500 is an apocalyptic number.

38451868500 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 38451868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60413633280).

38451868500 is an abundant number, since it is smaller than the sum of its proper divisors (82375398060).

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

38451868500 is a wasteful number, since it uses less digits than its factorization.

38451868500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 38451868500 in words is "thirty-eight billion, four hundred fifty-one million, eight hundred sixty-eight thousand, five hundred".