3800319264 has 576 divisors, whose sum is σ = 13963622400. Its totient is φ = 975421440.

The previous prime is 3800319251. The next prime is 3800319287. The reversal of 3800319264 is 4629130083.

3800319264 is a `hidden beast` number, since 3 + 80 + 0 + 319 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52059132 + ... + 52059204.

It is an arithmetic number, because the mean of its divisors is an integer number (24242400).

Almost surely, 2^3800319264 is an apocalyptic number.

3800319264 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 3800319264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981811200).

3800319264 is an abundant number, since it is smaller than the sum of its proper divisors (10163303136).

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

3800319264 is a wasteful number, since it uses less digits than its factorization.

3800319264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3800319264 is about 61646.7295482899. The cubic root of 3800319264 is about 1560.5344519857.

The spelling of 3800319264 in words is "three billion, eight hundred million, three hundred nineteen thousand, two hundred sixty-four".