3799574780160 has 144 divisors (see below), whose sum is σ = 12153831016320. Its totient is φ = 1011638599680.

The previous prime is 3799574780159. The next prime is 3799574780233. The reversal of 3799574780160 is 610874759973.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3799574780091 and 3799574780100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1689621 + ... + 3233259.

It is an arithmetic number, because the mean of its divisors is an integer number (84401604280).

Almost surely, 2^{3799574780160} is an apocalyptic number.

3799574780160 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 3799574780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076915508160).

3799574780160 is an abundant number, since it is smaller than the sum of its proper divisors (8354256236160).

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

3799574780160 is a wasteful number, since it uses less digits than its factorization.

3799574780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544304 (or 1544290 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 3799574780160 in words is "three trillion, seven hundred ninety-nine billion, five hundred seventy-four million, seven hundred eighty thousand, one hundred sixty".