3624282720 has 72 divisors (see below), whose sum is σ = 12367869696. Its totient is φ = 966475008.

The previous prime is 3624282709. The next prime is 3624282749. The reversal of 3624282720 is 272824263.

It is a happy number.

3624282720 is a `hidden beast` number, since 3 + 624 + 2 + 8 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1256992 + ... + 1259871.

It is an arithmetic number, because the mean of its divisors is an integer number (171775968).

Almost surely, 2^3624282720 is an apocalyptic number.

3624282720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3624282720 is an abundant number, since it is smaller than the sum of its proper divisors (8743586976).

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

3624282720 is a wasteful number, since it uses less digits than its factorization.

3624282720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516884 (or 2516873 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3624282720 is about 60202.0159130905. The cubic root of 3624282720 is about 1536.0570860945.

The spelling of 3624282720 in words is "three billion, six hundred twenty-four million, two hundred eighty-two thousand, seven hundred twenty".