3840702624 has 216 divisors, whose sum is σ = 12077825760. Its totient is φ = 1156826880.

The previous prime is 3840702599. The next prime is 3840702629. The reversal of 3840702624 is 4262070483.

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

It is not an unprimeable number, because it can be changed into a prime (3840702629) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10698157 + ... + 10698515.

It is an arithmetic number, because the mean of its divisors is an integer number (55915860).

Almost surely, 2^3840702624 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 3840702624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038912880).

3840702624 is an abundant number, since it is smaller than the sum of its proper divisors (8237123136).

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

3840702624 is a wasteful number, since it uses less digits than its factorization.

3840702624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3840702624 is about 61973.4025530308. The cubic root of 3840702624 is about 1566.0425603637.

The spelling of 3840702624 in words is "three billion, eight hundred forty million, seven hundred two thousand, six hundred twenty-four".