3307014144 has 432 divisors, whose sum is σ = 11682740160. Its totient is φ = 882524160.

The previous prime is 3307014143. The next prime is 3307014169. The reversal of 3307014144 is 4414107033.

It is not an unprimeable number, because it can be changed into a prime (3307014143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46577629 + ... + 46577699.

It is an arithmetic number, because the mean of its divisors is an integer number (27043380).

Almost surely, 2^3307014144 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 3307014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841370080).

3307014144 is an abundant number, since it is smaller than the sum of its proper divisors (8375726016).

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

3307014144 is a wasteful number, since it uses less digits than its factorization.

3307014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3307014144 is about 57506.6443465449. The cubic root of 3307014144 is about 1489.8596243292.

The spelling of 3307014144 in words is "three billion, three hundred seven million, fourteen thousand, one hundred forty-four".