3306714400 has 144 divisors (see below), whose sum is σ = 9270344160. Its totient is φ = 1139097600.

The previous prime is 3306714373. The next prime is 3306714409. The reversal of 3306714400 is 44176033.

It is not an unprimeable number, because it can be changed into a prime (3306714409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157312 + ... + 177088.

It is an arithmetic number, because the mean of its divisors is an integer number (64377390).

Almost surely, 2^3306714400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635172080).

3306714400 is an abundant number, since it is smaller than the sum of its proper divisors (5963629760).

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

3306714400 is a wasteful number, since it uses less digits than its factorization.

3306714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19827 (or 19814 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3306714400 is about 57504.0381190747. The cubic root of 3306714400 is about 1489.8146099087.

The spelling of 3306714400 in words is "three billion, three hundred six million, seven hundred fourteen thousand, four hundred".