3875400 has 72 divisors (see below), whose sum is σ = 13020930. Its totient is φ = 1032960.

The previous prime is 3875387. The next prime is 3875401. The reversal of 3875400 is 45783.

It can be written as a sum of positive squares in 3 ways, for example, as 1920996 + 1954404 = 1386^2 + 1398^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3875401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 724 + ... + 2876.

Almost surely, 2^3875400 is an apocalyptic number.

3875400 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 3875400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510465).

3875400 is an abundant number, since it is smaller than the sum of its proper divisors (9145530).

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

3875400 is a wasteful number, since it uses less digits than its factorization.

3875400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3875400 is about 1968.6035659828. The cubic root of 3875400 is about 157.0744369595.

The spelling of 3875400 in words is "three million, eight hundred seventy-five thousand, four hundred".