38295900 has 108 divisors (see below), whose sum is σ = 127148112. Its totient is φ = 9607680.

The previous prime is 38295871. The next prime is 38295919. The reversal of 38295900 is 959283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14049 + ... + 16551.

Almost surely, 2^38295900 is an apocalyptic number.

38295900 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 38295900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63574056).

38295900 is an abundant number, since it is smaller than the sum of its proper divisors (88852212).

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

38295900 is a wasteful number, since it uses less digits than its factorization.

38295900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 38295900 is about 6188.3681209185. The cubic root of 38295900 is about 337.0679244489.

The spelling of 38295900 in words is "thirty-eight million, two hundred ninety-five thousand, nine hundred".