3890824 has 64 divisors (see below), whose sum is σ = 9106560. Its totient is φ = 1520640.

The previous prime is 3890819. The next prime is 3890833. The reversal of 3890824 is 4280983.

It is a super-2 number, since 2×3890824² = 30277022797952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 3890824.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58039 + ... + 58105.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

Almost surely, 2^3890824 is an apocalyptic number.

3890824 is a gapful number since it is divisible by the number (34) 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 3890824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553280).

3890824 is an abundant number, since it is smaller than the sum of its proper divisors (5215736).

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

3890824 is a wasteful number, since it uses less digits than its factorization.

3890824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3890824 is about 1972.5171735628. The cubic root of 3890824 is about 157.2825452912.

The spelling of 3890824 in words is "three million, eight hundred ninety thousand, eight hundred twenty-four".