3624382944 has 288 divisors, whose sum is σ = 12998591424. Its totient is φ = 932290560.

The previous prime is 3624382939. The next prime is 3624382961. The reversal of 3624382944 is 4492834263.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3624382944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1072842 + ... + 1076214.

It is an arithmetic number, because the mean of its divisors is an integer number (45133998).

Almost surely, 2^3624382944 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 3624382944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499295712).

3624382944 is an abundant number, since it is smaller than the sum of its proper divisors (9374208480).

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

3624382944 is a wasteful number, since it uses less digits than its factorization.

3624382944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3439 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3624382944 is about 60202.8483047106. The cubic root of 3624382944 is about 1536.0712450677.

The spelling of 3624382944 in words is "three billion, six hundred twenty-four million, three hundred eighty-two thousand, nine hundred forty-four".