3399045120 has 312 divisors, whose sum is σ = 12236174496. Its totient is φ = 905084928.

The previous prime is 3399045077. The next prime is 3399045151. The reversal of 3399045120 is 215409933.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976299 + ... + 4976981.

It is an arithmetic number, because the mean of its divisors is an integer number (39218508).

Almost surely, 2^3399045120 is an apocalyptic number.

3399045120 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 3399045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118087248).

3399045120 is an abundant number, since it is smaller than the sum of its proper divisors (8837129376).

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

3399045120 is an frugal number, since it uses more digits than its factorization.

3399045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3399045120 is about 58301.3303450273. The cubic root of 3399045120 is about 1503.5538136231.

The spelling of 3399045120 in words is "three billion, three hundred ninety-nine million, forty-five thousand, one hundred twenty".