38873762100 has 54 divisors (see below), whose sum is σ = 121847650470. Its totient is φ = 10366336320.

The previous prime is 38873762093. The next prime is 38873762107. The reversal of 38873762100 is 126737883.

It is an interprime number because it is at equal distance from previous prime (38873762093) and next prime (38873762107).

It can be written as a sum of positive squares in 3 ways, for example, as 11958734736 + 26915027364 = 109356^2 + 164058^2 .

It is a super-2 number, since 2×38873762100² (a number of 22 digits) contains 22 as substring.

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 (38873762107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21595635 + ... + 21597434.

Almost surely, 2^38873762100 is an apocalyptic number.

38873762100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38873762100 is an abundant number, since it is smaller than the sum of its proper divisors (82973888370).

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

38873762100 is a wasteful number, since it uses less digits than its factorization.

38873762100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43193089 (or 43193079 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 38873762100 in words is "thirty-eight billion, eight hundred seventy-three million, seven hundred sixty-two thousand, one hundred".