38926540800 has 756 divisors, whose sum is σ = 162576241776. Its totient is φ = 8876851200.

The previous prime is 38926540799. The next prime is 38926540801. The reversal of 38926540800 is 804562983.

38926540800 is a `hidden beast` number, since 3 + 8 + 9 + 26 + 540 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38926540799) and next prime (38926540801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38926540801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 90316585 + ... + 90317015.

Almost surely, 2^38926540800 is an apocalyptic number.

38926540800 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 38926540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81288120888).

38926540800 is an abundant number, since it is smaller than the sum of its proper divisors (123649700976).

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

38926540800 is a wasteful number, since it uses less digits than its factorization.

38926540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38926540800 in words is "thirty-eight billion, nine hundred twenty-six million, five hundred forty thousand, eight hundred".