38465100 has 108 divisors (see below), whose sum is σ = 122318560. Its totient is φ = 10108800.

The previous prime is 38465069. The next prime is 38465111. The reversal of 38465100 is 156483.

38465100 is a `hidden beast` number, since 3 + 8 + 4 + 651 + 0 + 0 = 666.

38465100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 70830 + ... + 71370.

Almost surely, 2^38465100 is an apocalyptic number.

38465100 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 38465100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61159280).

38465100 is an abundant number, since it is smaller than the sum of its proper divisors (83853460).

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

38465100 is a wasteful number, since it uses less digits than its factorization.

38465100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38465100 is about 6202.0238632240. The cubic root of 38465100 is about 337.5636094098.

The spelling of 38465100 in words is "thirty-eight million, four hundred sixty-five thousand, one hundred".