38442900 has 72 divisors (see below), whose sum is σ = 112215040. Its totient is φ = 10160640.

The previous prime is 38442881. The next prime is 38442941. The reversal of 38442900 is 924483.

It is a happy number.

38442900 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37596 + ... + 38604.

Almost surely, 2^38442900 is an apocalyptic number.

38442900 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 38442900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56107520).

38442900 is an abundant number, since it is smaller than the sum of its proper divisors (73772140).

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

38442900 is a wasteful number, since it uses less digits than its factorization.

38442900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38442900 is about 6200.2338665570. The cubic root of 38442900 is about 337.4986556874.

The spelling of 38442900 in words is "thirty-eight million, four hundred forty-two thousand, nine hundred".