3865680 has 240 divisors, whose sum is σ = 16248960. Its totient is φ = 801792.

The previous prime is 3865663. The next prime is 3865691. The reversal of 3865680 is 865683.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65491 + ... + 65549.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

Almost surely, 2^3865680 is an apocalyptic number.

3865680 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 3865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

3865680 is an abundant number, since it is smaller than the sum of its proper divisors (12383280).

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

3865680 is a wasteful number, since it uses less digits than its factorization.

3865680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3865680 is about 1966.1332609973. The cubic root of 3865680 is about 156.9430060751.

The spelling of 3865680 in words is "three million, eight hundred sixty-five thousand, six hundred eighty".