3245664414720 has 3168 divisors, whose sum is σ = 14758680038400. Its totient is φ = 602866188288.

The previous prime is 3245664414719. The next prime is 3245664414721. The reversal of 3245664414720 is 274144665423.

It is an interprime number because it is at equal distance from previous prime (3245664414719) and next prime (3245664414721).

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 3245664414720.

It is not an unprimeable number, because it can be changed into a prime (3245664414721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41084359641 + ... + 41084359719.

Almost surely, 2^{3245664414720} is an apocalyptic number.

3245664414720 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 3245664414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379340019200).

3245664414720 is an abundant number, since it is smaller than the sum of its proper divisors (11513015623680).

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

3245664414720 is a wasteful number, since it uses less digits than its factorization.

3245664414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 3245664414720 in words is "three trillion, two hundred forty-five billion, six hundred sixty-four million, four hundred fourteen thousand, seven hundred twenty".