38250900 has 144 divisors (see below), whose sum is σ = 127214080. Its totient is φ = 9849600.

The previous prime is 38250893. The next prime is 38250923. The reversal of 38250900 is 905283.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83472 + ... + 83928.

Almost surely, 2^38250900 is an apocalyptic number.

38250900 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 38250900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63607040).

38250900 is an abundant number, since it is smaller than the sum of its proper divisors (88963180).

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

38250900 is a wasteful number, since it uses less digits than its factorization.

38250900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38250900 is about 6184.7311986860. The cubic root of 38250900 is about 336.9358476329.

The spelling of 38250900 in words is "thirty-eight million, two hundred fifty thousand, nine hundred".