3928600 has 48 divisors (see below), whose sum is σ = 9843120. Its totient is φ = 1449600.

The previous prime is 3928577. The next prime is 3928619. The reversal of 3928600 is 68293.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

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, 1845 + ... + 3355.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 2^3928600 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 3928600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560).

3928600 is an abundant number, since it is smaller than the sum of its proper divisors (5914520).

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

3928600 is a wasteful number, since it uses less digits than its factorization.

3928600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3928600 is about 1982.0696254168. The cubic root of 3928600 is about 157.7899253727.

The spelling of 3928600 in words is "three million, nine hundred twenty-eight thousand, six hundred".