3307249440 has 864 divisors, whose sum is σ = 13907799360. Its totient is φ = 739031040.

The previous prime is 3307249417. The next prime is 3307249441. The reversal of 3307249440 is 449427033.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3307249395 and 3307249404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3307249441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89385102 + ... + 89385138.

It is an arithmetic number, because the mean of its divisors is an integer number (16096990).

Almost surely, 2^3307249440 is an apocalyptic number.

3307249440 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 3307249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953899680).

3307249440 is an abundant number, since it is smaller than the sum of its proper divisors (10600549920).

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

3307249440 is a wasteful number, since it uses less digits than its factorization.

3307249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3307249440 is about 57508.6901259279. The cubic root of 3307249440 is about 1489.8949582872.

The spelling of 3307249440 in words is "three billion, three hundred seven million, two hundred forty-nine thousand, four hundred forty".