3629982720 has 704 divisors, whose sum is σ = 14856307200. Its totient is φ = 751435776.

The previous prime is 3629982703. The next prime is 3629982721. The reversal of 3629982720 is 272899263.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3629982720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629982721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68490214 + ... + 68490266.

Almost surely, 2^3629982720 is an apocalyptic number.

3629982720 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 3629982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428153600).

3629982720 is an abundant number, since it is smaller than the sum of its proper divisors (11226324480).

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

3629982720 is a wasteful number, since it uses less digits than its factorization.

3629982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 3629982720 is about 60249.3379216735. The cubic root of 3629982720 is about 1536.8619294306.

The spelling of 3629982720 in words is "three billion, six hundred twenty-nine million, nine hundred eighty-two thousand, seven hundred twenty".