3419986960 has 320 divisors, whose sum is σ = 9423396864. Its totient is φ = 1144627200.

The previous prime is 3419986949. The next prime is 3419986967. The reversal of 3419986960 is 696899143.

It is not an unprimeable number, because it can be changed into a prime (3419986967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56065330 + ... + 56065390.

Almost surely, 2^3419986960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711698432).

3419986960 is an abundant number, since it is smaller than the sum of its proper divisors (6003409904).

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

3419986960 is a wasteful number, since it uses less digits than its factorization.

3419986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 55.

The square root of 3419986960 is about 58480.6545790999. The cubic root of 3419986960 is about 1506.6353397129.

The spelling of 3419986960 in words is "three billion, four hundred nineteen million, nine hundred eighty-six thousand, nine hundred sixty".