38436900 has 72 divisors (see below), whose sum is σ = 114825984. Its totient is φ = 9916800.

The previous prime is 38436889. The next prime is 38436911. The reversal of 38436900 is 963483.

It is an interprime number because it is at equal distance from previous prime (38436889) and next prime (38436911).

It is a super-2 number, since 2×38436900² = 2954790563220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7234 + ... + 11366.

Almost surely, 2^38436900 is an apocalyptic number.

38436900 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 38436900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57412992).

38436900 is an abundant number, since it is smaller than the sum of its proper divisors (76389084).

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

38436900 is a wasteful number, since it uses less digits than its factorization.

38436900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 38436900 is about 6199.7499949595. The cubic root of 38436900 is about 337.4810963349.

The spelling of 38436900 in words is "thirty-eight million, four hundred thirty-six thousand, nine hundred".