38903100 has 72 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 10265280.

The previous prime is 38903093. The next prime is 38903119. The reversal of 38903100 is 130983.

38903100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38903100² = 3026902379220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30271 + ... + 31529.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760).

Almost surely, 2^38903100 is an apocalyptic number.

38903100 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 38903100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

38903100 is an abundant number, since it is smaller than the sum of its proper divisors (74839620).

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

38903100 is a wasteful number, since it uses less digits than its factorization.

38903100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 38903100 is about 6237.2349643091. The cubic root of 38903100 is about 338.8400494978.

The spelling of 38903100 in words is "thirty-eight million, nine hundred three thousand, one hundred".