3890400 has 72 divisors (see below), whose sum is σ = 12671064. Its totient is φ = 1036800.

The previous prime is 3890387. The next prime is 3890417. The reversal of 3890400 is 40983.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590 + ... + 3210.

It is an arithmetic number, because the mean of its divisors is an integer number (175987).

Almost surely, 2^3890400 is an apocalyptic number.

3890400 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 3890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335532).

3890400 is an abundant number, since it is smaller than the sum of its proper divisors (8780664).

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

3890400 is a wasteful number, since it uses less digits than its factorization.

3890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3890400 is about 1972.4096937503. The cubic root of 3890400 is about 157.2768318295.

The spelling of 3890400 in words is "three million, eight hundred ninety thousand, four hundred".