3622544640 has 576 divisors, whose sum is σ = 15122983680. Its totient is φ = 809533440.

The previous prime is 3622544633. The next prime is 3622544683. The reversal of 3622544640 is 464452263.

3622544640 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 5 + 4 + 4 + 640 = 666.

3622544640 is digitally balanced in base 2 and base 4, because in such bases 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 (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 3622544595 and 3622544604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4941714 + ... + 4942446.

It is an arithmetic number, because the mean of its divisors is an integer number (26255180).

Almost surely, 2^3622544640 is an apocalyptic number.

3622544640 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 3622544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561491840).

3622544640 is an abundant number, since it is smaller than the sum of its proper divisors (11500439040).

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

3622544640 is a wasteful number, since it uses less digits than its factorization.

3622544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3622544640 is about 60187.5787849952. The cubic root of 3622544640 is about 1535.8115003055.

The spelling of 3622544640 in words is "three billion, six hundred twenty-two million, five hundred forty-four thousand, six hundred forty".