3819569242896 has 240 divisors, whose sum is σ = 12374520837120. Its totient is φ = 1088356135680.

The previous prime is 3819569242889. The next prime is 3819569242901. The reversal of 3819569242896 is 6982429659183.

3819569242896 is a `hidden beast` number, since 3 + 8 + 19 + 569 + 2 + 42 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1261005 + ... + 3037971.

It is an arithmetic number, because the mean of its divisors is an integer number (51560503488).

Almost surely, 2^{3819569242896} is an apocalyptic number.

3819569242896 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 3819569242896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187260418560).

3819569242896 is an abundant number, since it is smaller than the sum of its proper divisors (8554951594224).

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

3819569242896 is a wasteful number, since it uses less digits than its factorization.

3819569242896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777074 (or 1777065 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 3819569242896 in words is "three trillion, eight hundred nineteen billion, five hundred sixty-nine million, two hundred forty-two thousand, eight hundred ninety-six".