3928400 has 120 divisors (see below), whose sum is σ = 11439744. Its totient is φ = 1267200.

The previous prime is 3928399. The next prime is 3928417. The reversal of 3928400 is 48293.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3928400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64370 + ... + 64430.

Almost surely, 2^3928400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719872).

3928400 is an abundant number, since it is smaller than the sum of its proper divisors (7511344).

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

3928400 is a wasteful number, since it uses less digits than its factorization.

3928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3928400 is about 1982.0191724602. The cubic root of 3928400 is about 157.7872476995.

The spelling of 3928400 in words is "three million, nine hundred twenty-eight thousand, four hundred".