38763813100 has 144 divisors (see below), whose sum is σ = 91649009088. Its totient is φ = 14175682560.

The previous prime is 38763813059. The next prime is 38763813103. The reversal of 38763813100 is 131836783.

It is a super-2 number, since 2×38763813100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38763813103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9278212 + ... + 9282388.

It is an arithmetic number, because the mean of its divisors is an integer number (636451452).

Almost surely, 2^38763813100 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 38763813100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45824504544).

38763813100 is an abundant number, since it is smaller than the sum of its proper divisors (52885195988).

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

38763813100 is a wasteful number, since it uses less digits than its factorization.

38763813100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 38763813100 in words is "thirty-eight billion, seven hundred sixty-three million, eight hundred thirteen thousand, one hundred".