38920100 has 36 divisors (see below), whose sum is σ = 85129968. Its totient is φ = 15444000.

The previous prime is 38920093. The next prime is 38920103. The reversal of 38920100 is 102983.

It is not an unprimeable number, because it can be changed into a prime (38920103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11615 + ... + 14585.

Almost surely, 2^38920100 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 38920100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42564984).

38920100 is an abundant number, since it is smaller than the sum of its proper divisors (46209868).

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

38920100 is a wasteful number, since it uses less digits than its factorization.

38920100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 38920100 is about 6238.5975988198. The cubic root of 38920100 is about 338.8893981101.

The spelling of 38920100 in words is "thirty-eight million, nine hundred twenty thousand, one hundred".