3399144840 has 768 divisors, whose sum is σ = 14760345600. Its totient is φ = 658409472.

The previous prime is 3399144803. The next prime is 3399144911. The reversal of 3399144840 is 484419933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26764857 + ... + 26764983.

It is an arithmetic number, because the mean of its divisors is an integer number (19219200).

Almost surely, 2^3399144840 is an apocalyptic number.

3399144840 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 3399144840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380172800).

3399144840 is an abundant number, since it is smaller than the sum of its proper divisors (11361200760).

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

3399144840 is a wasteful number, since it uses less digits than its factorization.

3399144840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3399144840 is about 58302.1855508008. The cubic root of 3399144840 is about 1503.5685170584.

The spelling of 3399144840 in words is "three billion, three hundred ninety-nine million, one hundred forty-four thousand, eight hundred forty".