3662624720 has 20 divisors (see below), whose sum is σ = 8515602660. Its totient is φ = 1465049856.

The previous prime is 3662624701. The next prime is 3662624723. The reversal of 3662624720 is 274262663.

It can be written as a sum of positive squares in 2 ways, for example, as 502835776 + 3159788944 = 22424^2 + 56212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662624723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22891325 + ... + 22891484.

It is an arithmetic number, because the mean of its divisors is an integer number (425780133).

Almost surely, 2^3662624720 is an apocalyptic number.

It is an amenable number.

3662624720 is an abundant number, since it is smaller than the sum of its proper divisors (4852977940).

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

3662624720 is a wasteful number, since it uses less digits than its factorization.

3662624720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45782822 (or 45782816 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 3662624720 is about 60519.6226029211. The cubic root of 3662624720 is about 1541.4548460021.

The spelling of 3662624720 in words is "three billion, six hundred sixty-two million, six hundred twenty-four thousand, seven hundred twenty".