3844587264 has 576 divisors, whose sum is σ = 13563002880. Its totient is φ = 940769280.

The previous prime is 3844587259. The next prime is 3844587283. The reversal of 3844587264 is 4627854483.

3844587264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3844587264² = 29561702461022011392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 65162467 + ... + 65162525.

It is an arithmetic number, because the mean of its divisors is an integer number (23546880).

Almost surely, 2^3844587264 is an apocalyptic number.

3844587264 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 3844587264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781501440).

3844587264 is an abundant number, since it is smaller than the sum of its proper divisors (9718415616).

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

3844587264 is a wasteful number, since it uses less digits than its factorization.

3844587264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The square root of 3844587264 is about 62004.7358191292. The cubic root of 3844587264 is about 1566.5703684485.

The spelling of 3844587264 in words is "three billion, eight hundred forty-four million, five hundred eighty-seven thousand, two hundred sixty-four".