3890592 has 120 divisors (see below), whose sum is σ = 12196800. Its totient is φ = 1213056.

The previous prime is 3890591. The next prime is 3890609. The reversal of 3890592 is 2950983.

It is a super-2 number, since 2×3890592² = 30273412220928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3890591) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49209 + ... + 49287.

It is an arithmetic number, because the mean of its divisors is an integer number (101640).

Almost surely, 2^3890592 is an apocalyptic number.

3890592 is a gapful number since it is divisible by the number (32) 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 3890592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098400).

3890592 is an abundant number, since it is smaller than the sum of its proper divisors (8306208).

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

3890592 is a wasteful number, since it uses less digits than its factorization.

3890592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3890592 is about 1972.4583645796. The cubic root of 3890592 is about 157.2794191088.

The spelling of 3890592 in words is "three million, eight hundred ninety thousand, five hundred ninety-two".