3892299264 has 640 divisors, whose sum is σ = 14534784000. Its totient is φ = 1003290624.

The previous prime is 3892299259. The next prime is 3892299343. The reversal of 3892299264 is 4629922983.

3892299264 is a `hidden beast` number, since 3 + 8 + 92 + 299 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3892299264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53319132 + ... + 53319204.

It is an arithmetic number, because the mean of its divisors is an integer number (22710600).

Almost surely, 2^3892299264 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 3892299264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267392000).

3892299264 is an abundant number, since it is smaller than the sum of its proper divisors (10642484736).

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

3892299264 is a wasteful number, since it uses less digits than its factorization.

3892299264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 3892299264 is about 62388.2942866689. The cubic root of 3892299264 is about 1573.0242145423.

The spelling of 3892299264 in words is "three billion, eight hundred ninety-two million, two hundred ninety-nine thousand, two hundred sixty-four".