3812640 has 144 divisors (see below), whose sum is σ = 13281408. Its totient is φ = 918528.

The previous prime is 3812623. The next prime is 3812647. The reversal of 3812640 is 462183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3812640.

It is not an unprimeable number, because it can be changed into a prime (3812647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81097 + ... + 81143.

It is an arithmetic number, because the mean of its divisors is an integer number (92232).

Almost surely, 2^3812640 is an apocalyptic number.

3812640 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 3812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640704).

3812640 is an abundant number, since it is smaller than the sum of its proper divisors (9468768).

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

3812640 is a wasteful number, since it uses less digits than its factorization.

3812640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3812640 is about 1952.5982689739. The cubic root of 3812640 is about 156.2219064158.

The spelling of 3812640 in words is "three million, eight hundred twelve thousand, six hundred forty".