38901900 has 144 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 9715200.

The previous prime is 38901893. The next prime is 38901959. The reversal of 38901900 is 910983.

It is a happy number.

It is a super-2 number, since 2×38901900² = 3026715647220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 437056 + ... + 437144.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^38901900 is an apocalyptic number.

38901900 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 38901900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

38901900 is an abundant number, since it is smaller than the sum of its proper divisors (81090420).

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

38901900 is a wasteful number, since it uses less digits than its factorization.

38901900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 38901900 is about 6237.1387670951. The cubic root of 38901900 is about 338.8365655231.

The spelling of 38901900 in words is "thirty-eight million, nine hundred one thousand, nine hundred".