3845259264 has 288 divisors, whose sum is σ = 12884852736. Its totient is φ = 990904320.

The previous prime is 3845259227. The next prime is 3845259277. The reversal of 3845259264 is 4629525483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (2073600) is a multiple of the sum of its prime divisors (150).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30277569 + ... + 30277695.

It is an arithmetic number, because the mean of its divisors is an integer number (44739072).

Almost surely, 2^3845259264 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 3845259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442426368).

3845259264 is an abundant number, since it is smaller than the sum of its proper divisors (9039593472).

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

3845259264 is an equidigital number, since it uses as much as digits as its factorization.

3845259264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 3845259264 is about 62010.1545232714. The cubic root of 3845259264 is about 1566.6616373663.

The spelling of 3845259264 in words is "three billion, eight hundred forty-five million, two hundred fifty-nine thousand, two hundred sixty-four".