3619967272416 has 216 divisors, whose sum is σ = 11324543270040. Its totient is φ = 1096054248960.

The previous prime is 3619967272399. The next prime is 3619967272469. The reversal of 3619967272416 is 6142727699163.

3619967272416 is a `hidden beast` number, since 3 + 6 + 1 + 99 + 67 + 2 + 72 + 416 = 666.

3619967272416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42785931 + ... + 42870453.

It is an arithmetic number, because the mean of its divisors is an integer number (52428441065).

Almost surely, 2^{3619967272416} is an apocalyptic number.

3619967272416 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 3619967272416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662271635020).

3619967272416 is an abundant number, since it is smaller than the sum of its proper divisors (7704575997624).

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

3619967272416 is a wasteful number, since it uses less digits than its factorization.

3619967272416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85790 (or 85768 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 3619967272416 in words is "three trillion, six hundred nineteen billion, nine hundred sixty-seven million, two hundred seventy-two thousand, four hundred sixteen".