3806640 has 120 divisors (see below), whose sum is σ = 13579488. Its totient is φ = 952320.

The previous prime is 3806639. The next prime is 3806641. The reversal of 3806640 is 466083.

It is an interprime number because it is at equal distance from previous prime (3806639) and next prime (3806641).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (3806641) 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, 12085 + ... + 12395.

Almost surely, 2^3806640 is an apocalyptic number.

3806640 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 3806640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789744).

3806640 is an abundant number, since it is smaller than the sum of its proper divisors (9772848).

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

3806640 is a wasteful number, since it uses less digits than its factorization.

3806640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3806640 is about 1951.0612496793. The cubic root of 3806640 is about 156.1399139236.

The spelling of 3806640 in words is "three million, eight hundred six thousand, six hundred forty".