38536348500 has 288 divisors, whose sum is σ = 131304595968. Its totient is φ = 9458092800.

The previous prime is 38536348483. The next prime is 38536348507. The reversal of 38536348500 is 584363583.

38536348500 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 634 + 8 + 5 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (38536348507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25914757 + ... + 25916243.

It is an arithmetic number, because the mean of its divisors is an integer number (455918736).

Almost surely, 2^38536348500 is an apocalyptic number.

38536348500 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 38536348500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65652297984).

38536348500 is an abundant number, since it is smaller than the sum of its proper divisors (92768247468).

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

38536348500 is a wasteful number, since it uses less digits than its factorization.

38536348500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 38536348500 in words is "thirty-eight billion, five hundred thirty-six million, three hundred forty-eight thousand, five hundred".