3771264 has 128 divisors (see below), whose sum is σ = 12142080. Its totient is φ = 1013760.

The previous prime is 3771211. The next prime is 3771277. The reversal of 3771264 is 4621773.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61794 + ... + 61854.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

Almost surely, 2^3771264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071040).

3771264 is an abundant number, since it is smaller than the sum of its proper divisors (8370816).

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

3771264 is a wasteful number, since it uses less digits than its factorization.

3771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 3771264 is about 1941.9742531764. The cubic root of 3771264 is about 155.6547261808.

The spelling of 3771264 in words is "three million, seven hundred seventy-one thousand, two hundred sixty-four".