3307464720 has 360 divisors, whose sum is σ = 13008017880. Its totient is φ = 750919680.

The previous prime is 3307464709. The next prime is 3307464731. The reversal of 3307464720 is 274647033.

It is a happy number.

3307464720 is a `hidden beast` number, since 3 + 3 + 0 + 7 + 4 + 647 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3307464709) and next prime (3307464731).

It can be written as a sum of positive squares in 4 ways, for example, as 317124864 + 2990339856 = 17808^2 + 54684^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8502286 + ... + 8502674.

It is an arithmetic number, because the mean of its divisors is an integer number (36133383).

Almost surely, 2^3307464720 is an apocalyptic number.

3307464720 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 3307464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504008940).

3307464720 is an abundant number, since it is smaller than the sum of its proper divisors (9700553160).

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

3307464720 is a wasteful number, since it uses less digits than its factorization.

3307464720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3307464720 is about 57510.5618125923. The cubic root of 3307464720 is about 1489.9272850120.

The spelling of 3307464720 in words is "three billion, three hundred seven million, four hundred sixty-four thousand, seven hundred twenty".