3820968898560 has 1872 divisors, whose sum is σ = 15662303354880. Its totient is φ = 858370867200.

The previous prime is 3820968898553. The next prime is 3820968898603. The reversal of 3820968898560 is 658988690283.

3820968898560 is a `hidden beast` number, since 38 + 20 + 9 + 6 + 8 + 8 + 9 + 8 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30086369217 + ... + 30086369343.

It is an arithmetic number, because the mean of its divisors is an integer number (8366615040).

Almost surely, 2^{3820968898560} is an apocalyptic number.

3820968898560 is a gapful number since it is divisible by the number (30) 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 3820968898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7831151677440).

3820968898560 is an abundant number, since it is smaller than the sum of its proper divisors (11841334456320).

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

3820968898560 is a wasteful number, since it uses less digits than its factorization.

3820968898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 3820968898560 in words is "three trillion, eight hundred twenty billion, nine hundred sixty-eight million, eight hundred ninety-eight thousand, five hundred sixty".