3619219968 has 600 divisors, whose sum is σ = 13631479092. Its totient is φ = 947552256.

The previous prime is 3619219943. The next prime is 3619219979. The reversal of 3619219968 is 8699129163.

3619219968 is a `hidden beast` number, since 3 + 619 + 2 + 19 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3536918784 + 82301184 = 59472^2 + 9072^2 .

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

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

Its product of digits (1259712) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26417596 + ... + 26417732.

Almost surely, 2^3619219968 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 3619219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815739546).

3619219968 is an abundant number, since it is smaller than the sum of its proper divisors (10012259124).

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

3619219968 is a wasteful number, since it uses less digits than its factorization.

3619219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 162 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 3619219968 is about 60159.9531914712. The cubic root of 3619219968 is about 1535.3415146217.

The spelling of 3619219968 in words is "three billion, six hundred nineteen million, two hundred nineteen thousand, nine hundred sixty-eight".