3890640 has 160 divisors (see below), whose sum is σ = 13749120. Its totient is φ = 903168.

The previous prime is 3890639. The next prime is 3890651. The reversal of 3890640 is 460983.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3890598 and 3890607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90459 + ... + 90501.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

Almost surely, 2^3890640 is an apocalyptic number.

3890640 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 3890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874560).

3890640 is an abundant number, since it is smaller than the sum of its proper divisors (9858480).

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

3890640 is a wasteful number, since it uses less digits than its factorization.

3890640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3890640 is about 1972.4705320993. The cubic root of 3890640 is about 157.2800659154.

The spelling of 3890640 in words is "three million, eight hundred ninety thousand, six hundred forty".