3798291748680 has 768 divisors, whose sum is σ = 15000779888640. Its totient is φ = 820880179200.

The previous prime is 3798291748637. The next prime is 3798291748717. The reversal of 3798291748680 is 868471928973.

3798291748680 is a `hidden beast` number, since 37 + 9 + 8 + 29 + 17 + 486 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3798291748599 and 3798291748608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 888903024 + ... + 888907296.

It is an arithmetic number, because the mean of its divisors is an integer number (19532265480).

Almost surely, 2^{3798291748680} is an apocalyptic number.

3798291748680 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 3798291748680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500389944320).

3798291748680 is an abundant number, since it is smaller than the sum of its proper divisors (11202488139960).

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

3798291748680 is a wasteful number, since it uses less digits than its factorization.

3798291748680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 3798291748680 in words is "three trillion, seven hundred ninety-eight billion, two hundred ninety-one million, seven hundred forty-eight thousand, six hundred eighty".