3398645952 has 560 divisors, whose sum is σ = 11772351360. Its totient is φ = 961486848.

The previous prime is 3398645897. The next prime is 3398646023. The reversal of 3398645952 is 2595468933.

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

Its product of digits (6998400) is a multiple of the sum of its prime factors (150).

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 79 ways as a sum of consecutive naturals, for example, 72311593 + ... + 72311639.

It is an arithmetic number, because the mean of its divisors is an integer number (21022056).

Almost surely, 2^3398645952 is an apocalyptic number.

3398645952 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 3398645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886175680).

3398645952 is an abundant number, since it is smaller than the sum of its proper divisors (8373705408).

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

3398645952 is a wasteful number, since it uses less digits than its factorization.

3398645952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 3398645952 is about 58297.9069264069. The cubic root of 3398645952 is about 1503.4949545374.

The spelling of 3398645952 in words is "three billion, three hundred ninety-eight million, six hundred forty-five thousand, nine hundred fifty-two".