3423119616 has 324 divisors, whose sum is σ = 11916904272. Its totient is φ = 977163264.

The previous prime is 3423119587. The next prime is 3423119617. The reversal of 3423119616 is 6169113243.

3423119616 is a `hidden beast` number, since 3 + 4 + 2 + 31 + 1 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-3 number, since 3×3423119616³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3423119617) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3047631 + ... + 3048753.

Almost surely, 2^3423119616 is an apocalyptic number.

3423119616 is a gapful number since it is divisible by the number (36) 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 3423119616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958452136).

3423119616 is an abundant number, since it is smaller than the sum of its proper divisors (8493784656).

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

3423119616 is an equidigital number, since it uses as much as digits as its factorization.

3423119616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1135 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3423119616 is about 58507.4321432756. The cubic root of 3423119616 is about 1507.0952176740.

The spelling of 3423119616 in words is "three billion, four hundred twenty-three million, one hundred nineteen thousand, six hundred sixteen".