3848588640 has 480 divisors, whose sum is σ = 14937664896. Its totient is φ = 927313920.

The previous prime is 3848588593. The next prime is 3848588659. The reversal of 3848588640 is 468858483.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8929225 + ... + 8929655.

Almost surely, 2^3848588640 is an apocalyptic number.

3848588640 is a gapful number since it is divisible by the number (30) 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 3848588640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468832448).

3848588640 is an abundant number, since it is smaller than the sum of its proper divisors (11089076256).

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

3848588640 is a wasteful number, since it uses less digits than its factorization.

3848588640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The square root of 3848588640 is about 62036.9941244738. The cubic root of 3848588640 is about 1567.1136659218.

The spelling of 3848588640 in words is "three billion, eight hundred forty-eight million, five hundred eighty-eight thousand, six hundred forty".