3845264 has 40 divisors (see below), whose sum is σ = 8044128. Its totient is φ = 1774080.

The previous prime is 3845263. The next prime is 3845273. The reversal of 3845264 is 4625483.

It is a d-powerful number, because it can be written as 3⁷ + 8³ + 4⁴ + 5 + 2²¹ + 6⁸ + 4⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3845264.

It is not an unprimeable number, because it can be changed into a prime (3845263) 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, 18119 + ... + 18329.

Almost surely, 2^3845264 is an apocalyptic number.

3845264 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 3845264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022064).

3845264 is an abundant number, since it is smaller than the sum of its proper divisors (4198864).

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

3845264 is a wasteful number, since it uses less digits than its factorization.

3845264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 3845264 is about 1960.9344711132. The cubic root of 3845264 is about 156.6662280557. Note that the first 3 decimals are identical.

The spelling of 3845264 in words is "three million, eight hundred forty-five thousand, two hundred sixty-four".