3662532720 has 960 divisors, whose sum is σ = 16871777280. Its totient is φ = 709171200.

The previous prime is 3662532707. The next prime is 3662532721. The reversal of 3662532720 is 272352663.

It is a happy number.

3662532720 is a `hidden beast` number, since 3 + 6 + 625 + 3 + 2 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662532721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60041490 + ... + 60041550.

It is an arithmetic number, because the mean of its divisors is an integer number (17574768).

Almost surely, 2^3662532720 is an apocalyptic number.

3662532720 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 3662532720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8435888640).

3662532720 is an abundant number, since it is smaller than the sum of its proper divisors (13209244560).

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

3662532720 is a wasteful number, since it uses less digits than its factorization.

3662532720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3662532720 is about 60518.8625140956. The cubic root of 3662532720 is about 1541.4419394988.

The spelling of 3662532720 in words is "three billion, six hundred sixty-two million, five hundred thirty-two thousand, seven hundred twenty".