3845664 has 48 divisors (see below), whose sum is σ = 11219040. Its totient is φ = 1281600.

The previous prime is 3845663. The next prime is 3845693. The reversal of 3845664 is 4665483.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a d-powerful number, because it can be written as 3 + 8⁷ + 4² + 5⁵ + 6³ + 6⁸ + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (3845663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1362 + ... + 3089.

It is an arithmetic number, because the mean of its divisors is an integer number (233730).

Almost surely, 2^3845664 is an apocalyptic number.

It is an amenable number.

3845664 is an abundant number, since it is smaller than the sum of its proper divisors (7373376).

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

3845664 is a wasteful number, since it uses less digits than its factorization.

3845664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4456 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3845664 is about 1961.0364606503. The cubic root of 3845664 is about 156.6716602201.

The spelling of 3845664 in words is "three million, eight hundred forty-five thousand, six hundred sixty-four".