3399589440 has 784 divisors, whose sum is σ = 13992148800. Its totient is φ = 779341824.

The previous prime is 3399589439. The next prime is 3399589463. The reversal of 3399589440 is 449859933.

3399589440 is a `hidden beast` number, since 3 + 39 + 95 + 89 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 57620131 + ... + 57620189.

Almost surely, 2^3399589440 is an apocalyptic number.

3399589440 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 3399589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996074400).

3399589440 is an abundant number, since it is smaller than the sum of its proper divisors (10592559360).

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

3399589440 is a wasteful number, since it uses less digits than its factorization.

3399589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 3399589440 is about 58305.9983192124. The cubic root of 3399589440 is about 1503.6340685869.

The spelling of 3399589440 in words is "three billion, three hundred ninety-nine million, five hundred eighty-nine thousand, four hundred forty".