3582012720 has 640 divisors, whose sum is σ = 13949107200. Its totient is φ = 748339200.

The previous prime is 3582012719. The next prime is 3582012737. The reversal of 3582012720 is 272102853.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58721490 + ... + 58721550.

It is an arithmetic number, because the mean of its divisors is an integer number (21795480).

Almost surely, 2^3582012720 is an apocalyptic number.

3582012720 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 3582012720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974553600).

3582012720 is an abundant number, since it is smaller than the sum of its proper divisors (10367094480).

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

3582012720 is a wasteful number, since it uses less digits than its factorization.

3582012720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 3582012720 is about 59849.9182956836. The cubic root of 3582012720 is about 1530.0620419969.

The spelling of 3582012720 in words is "three billion, five hundred eighty-two million, twelve thousand, seven hundred twenty".