349785875474880 has 112 divisors (see below), whose sum is σ = 1195998628108704. Its totient is φ = 86101138575360.

The previous prime is 349785875474863. The next prime is 349785875474881. The reversal of 349785875474880 is 88474578587943.

It is a super-2 number, since 2×349785875474880² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349785875474881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14013844711 + ... + 14013869670.

It is an arithmetic number, because the mean of its divisors is an integer number (10678559179542).

Almost surely, 2^{349785875474880} is an apocalyptic number.

349785875474880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349785875474880 is an abundant number, since it is smaller than the sum of its proper divisors (846212752633824).

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

349785875474880 is a wasteful number, since it uses less digits than its factorization.

349785875474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28027714414 (or 28027714404 counting only the distinct ones).

The product of its (nonzero) digits is 60692889600, while the sum is 87.

The spelling of 349785875474880 in words is "three hundred forty-nine trillion, seven hundred eighty-five billion, eight hundred seventy-five million, four hundred seventy-four thousand, eight hundred eighty".