3879264 has 48 divisors (see below), whose sum is σ = 10786608. Its totient is φ = 1216512.

The previous prime is 3879263. The next prime is 3879269. The reversal of 3879264 is 4629783.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3879263) 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, 444 + ... + 2820.

It is an arithmetic number, because the mean of its divisors is an integer number (224721).

Almost surely, 2^3879264 is an apocalyptic number.

3879264 is a gapful number since it is divisible by the number (34) 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 3879264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393304).

3879264 is an abundant number, since it is smaller than the sum of its proper divisors (6907344).

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

3879264 is a wasteful number, since it uses less digits than its factorization.

3879264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2399 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3879264 is about 1969.5847278043. The cubic root of 3879264 is about 157.1266237462.

The spelling of 3879264 in words is "three million, eight hundred seventy-nine thousand, two hundred sixty-four".