3397416960 has 576 divisors, whose sum is σ = 13198217760. Its totient is φ = 743178240.

The previous prime is 3397416947. The next prime is 3397416977. The reversal of 3397416960 is 696147933.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55695330 + ... + 55695390.

Almost surely, 2^3397416960 is an apocalyptic number.

3397416960 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 3397416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599108880).

3397416960 is an abundant number, since it is smaller than the sum of its proper divisors (9800800800).

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

3397416960 is a wasteful number, since it uses less digits than its factorization.

3397416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 3397416960 is about 58287.3653547662. The cubic root of 3397416960 is about 1503.3137052920.

The spelling of 3397416960 in words is "three billion, three hundred ninety-seven million, four hundred sixteen thousand, nine hundred sixty".