3640381824 has 64 divisors (see below), whose sum is σ = 9718560000. Its totient is φ = 1207337472.

The previous prime is 3640381813. The next prime is 3640381831. The reversal of 3640381824 is 4281830463.

It is a happy number.

3640381824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52597 + ... + 100235.

It is an arithmetic number, because the mean of its divisors is an integer number (151852500).

Almost surely, 2^3640381824 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 3640381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859280000).

3640381824 is an abundant number, since it is smaller than the sum of its proper divisors (6078178176).

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

3640381824 is a wasteful number, since it uses less digits than its factorization.

3640381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47855 (or 47843 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3640381824 is about 60335.5767686031. The cubic root of 3640381824 is about 1538.3281209512.

The spelling of 3640381824 in words is "three billion, six hundred forty million, three hundred eighty-one thousand, eight hundred twenty-four".