3397429952 has 56 divisors (see below), whose sum is σ = 7745004576. Its totient is φ = 1448460288.

The previous prime is 3397429949. The next prime is 3397429967. The reversal of 3397429952 is 2599247933.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 3397429894 and 3397429903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66818 + ... + 106110.

Almost surely, 2^3397429952 is an apocalyptic number.

3397429952 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 3397429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872502288).

3397429952 is an abundant number, since it is smaller than the sum of its proper divisors (4347574624).

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

3397429952 is a wasteful number, since it uses less digits than its factorization.

3397429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39505 (or 39495 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 53.

The square root of 3397429952 is about 58287.4768024831. The cubic root of 3397429952 is about 1503.3156215544.

The spelling of 3397429952 in words is "three billion, three hundred ninety-seven million, four hundred twenty-nine thousand, nine hundred fifty-two".