3399420312 has 128 divisors (see below), whose sum is σ = 9604627200. Its totient is φ = 1127792160.

The previous prime is 3399420301. The next prime is 3399420313. The reversal of 3399420312 is 2130249933.

3399420312 is a `hidden beast` number, since 339 + 9 + 4 + 2 + 0 + 312 = 666.

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 (3399420313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5790883 + ... + 5791469.

It is an arithmetic number, because the mean of its divisors is an integer number (75036150).

Almost surely, 2^3399420312 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 3399420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802313600).

3399420312 is an abundant number, since it is smaller than the sum of its proper divisors (6205206888).

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

3399420312 is an equidigital number, since it uses as much as digits as its factorization.

3399420312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3399420312 is about 58304.5479529685. The cubic root of 3399420312 is about 1503.6091331406.

The spelling of 3399420312 in words is "three billion, three hundred ninety-nine million, four hundred twenty thousand, three hundred twelve".