3619817918856 has 256 divisors, whose sum is σ = 10229421312000. Its totient is φ = 1185897404160.

The previous prime is 3619817918819. The next prime is 3619817918879. The reversal of 3619817918856 is 6588197189163.

3619817918856 is a `hidden beast` number, since 361 + 9 + 8 + 179 + 18 + 85 + 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 63 ways as a sum of consecutive naturals, for example, 1998794191 + ... + 1998796001.

It is an arithmetic number, because the mean of its divisors is an integer number (39958677000).

Almost surely, 2^{3619817918856} is an apocalyptic number.

3619817918856 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 3619817918856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114710656000).

3619817918856 is an abundant number, since it is smaller than the sum of its proper divisors (6609603393144).

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

3619817918856 is a wasteful number, since it uses less digits than its factorization.

3619817918856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2559 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 72.

The spelling of 3619817918856 in words is "three trillion, six hundred nineteen billion, eight hundred seventeen million, nine hundred eighteen thousand, eight hundred fifty-six".