3300687360 has 480 divisors, whose sum is σ = 12652627680. Its totient is φ = 812777472.

The previous prime is 3300687323. The next prime is 3300687367. The reversal of 3300687360 is 637860033.

It is a tau number, because it is divible by the number of its divisors (480).

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 (3300687367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62277094 + ... + 62277146.

It is an arithmetic number, because the mean of its divisors is an integer number (26359641).

Almost surely, 2^3300687360 is an apocalyptic number.

3300687360 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 3300687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326313840).

3300687360 is an abundant number, since it is smaller than the sum of its proper divisors (9351940320).

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

3300687360 is an equidigital number, since it uses as much as digits as its factorization.

3300687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3300687360 is about 57451.6088547571. The cubic root of 3300687360 is about 1488.9089139985.

The spelling of 3300687360 in words is "three billion, three hundred million, six hundred eighty-seven thousand, three hundred sixty".