3857400 has 72 divisors (see below), whose sum is σ = 12960480. Its totient is φ = 1028160.

The previous prime is 3857383. The next prime is 3857417. The reversal of 3857400 is 47583.

It is an interprime number because it is at equal distance from previous prime (3857383) and next prime (3857417).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 729 + ... + 2871.

Almost surely, 2^3857400 is an apocalyptic number.

3857400 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 3857400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480240).

3857400 is an abundant number, since it is smaller than the sum of its proper divisors (9103080).

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

3857400 is a wasteful number, since it uses less digits than its factorization.

3857400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2153 counting only the distinct ones).

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

The square root of 3857400 is about 1964.0264763999. The cubic root of 3857400 is about 156.8308725480.

The spelling of 3857400 in words is "three million, eight hundred fifty-seven thousand, four hundred".