3307864560 has 640 divisors, whose sum is σ = 14099097600. Its totient is φ = 632217600.

The previous prime is 3307864523. The next prime is 3307864591. The reversal of 3307864560 is 654687033.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11771620 + ... + 11771900.

It is an arithmetic number, because the mean of its divisors is an integer number (22029840).

Almost surely, 2^3307864560 is an apocalyptic number.

3307864560 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 3307864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7049548800).

3307864560 is an abundant number, since it is smaller than the sum of its proper divisors (10791233040).

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

3307864560 is a wasteful number, since it uses less digits than its factorization.

3307864560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3307864560 is about 57514.0379385764. The cubic root of 3307864560 is about 1489.9873217845.

The spelling of 3307864560 in words is "three billion, three hundred seven million, eight hundred sixty-four thousand, five hundred sixty".