3819849264 has 240 divisors, whose sum is σ = 13759309824. Its totient is φ = 960076800.

The previous prime is 3819849263. The next prime is 3819849307. The reversal of 3819849264 is 4629489183.

3819849264 is a `hidden beast` number, since 3 + 8 + 1 + 98 + 492 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3819849264.

It is not an unprimeable number, because it can be changed into a prime (3819849263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338172 + ... + 349284.

Almost surely, 2^3819849264 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 3819849264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879654912).

3819849264 is an abundant number, since it is smaller than the sum of its proper divisors (9939460560).

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

3819849264 is a wasteful number, since it uses less digits than its factorization.

3819849264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176 (or 11167 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 3819849264 is about 61804.9291238167. The cubic root of 3819849264 is about 1563.2031030775.

The spelling of 3819849264 in words is "three billion, eight hundred nineteen million, eight hundred forty-nine thousand, two hundred sixty-four".