3307231872 has 288 divisors, whose sum is σ = 11348637300. Its totient is φ = 921231360.

The previous prime is 3307231849. The next prime is 3307231883. The reversal of 3307231872 is 2781327033.

3307231872 is a `hidden beast` number, since 330 + 7 + 2 + 318 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2423002176 + 884229696 = 49224^2 + 29736^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2313654 + ... + 2315082.

Almost surely, 2^3307231872 is an apocalyptic number.

3307231872 is a gapful number since it is divisible by the number (32) 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 3307231872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674318650).

3307231872 is an abundant number, since it is smaller than the sum of its proper divisors (8041405428).

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

3307231872 is a wasteful number, since it uses less digits than its factorization.

3307231872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3307231872 is about 57508.5373835920. The cubic root of 3307231872 is about 1489.8923201916.

The spelling of 3307231872 in words is "three billion, three hundred seven million, two hundred thirty-one thousand, eight hundred seventy-two".