3247920720 has 720 divisors, whose sum is σ = 13366436160. Its totient is φ = 723824640.

The previous prime is 3247920707. The next prime is 3247920721. The reversal of 3247920720 is 270297423.

It is a tau number, because it is divible by the number of its divisors (720).

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 (3247920721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75533019 + ... + 75533061.

Almost surely, 2^3247920720 is an apocalyptic number.

3247920720 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 3247920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683218080).

3247920720 is an abundant number, since it is smaller than the sum of its proper divisors (10118515440).

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

3247920720 is a wasteful number, since it uses less digits than its factorization.

3247920720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3247920720 is about 56990.5318452109. The cubic root of 3247920720 is about 1480.9320766170.

The spelling of 3247920720 in words is "three billion, two hundred forty-seven million, nine hundred twenty thousand, seven hundred twenty".