3826275264 has 336 divisors, whose sum is σ = 13049926656. Its totient is φ = 1049241600.

The previous prime is 3826275253. The next prime is 3826275293. The reversal of 3826275264 is 4625726283.

3826275264 is a `hidden beast` number, since 382 + 6 + 2 + 7 + 5 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11559579 + ... + 11559909.

Almost surely, 2^3826275264 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 3826275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524963328).

3826275264 is an abundant number, since it is smaller than the sum of its proper divisors (9223651392).

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

3826275264 is a wasteful number, since it uses less digits than its factorization.

3826275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3826275264 is about 61856.8934234496. The cubic root of 3826275264 is about 1564.0791861233.

It can be divided in two parts, 38262 and 75264, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 3826275264 in words is "three billion, eight hundred twenty-six million, two hundred seventy-five thousand, two hundred sixty-four".