349800383728 has 160 divisors (see below), whose sum is σ = 759461391360. Its totient is φ = 155317155840.

The previous prime is 349800383719. The next prime is 349800383791. The reversal of 349800383728 is 827383008943.

It is a super-3 number, since 3×349800383728³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85880700 + ... + 85884772.

It is an arithmetic number, because the mean of its divisors is an integer number (4746633696).

Almost surely, 2^349800383728 is an apocalyptic number.

349800383728 is a gapful number since it is divisible by the number (38) 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 349800383728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379730695680).

349800383728 is an abundant number, since it is smaller than the sum of its proper divisors (409661007632).

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

349800383728 is a wasteful number, since it uses less digits than its factorization.

349800383728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 349800383728 in words is "three hundred forty-nine billion, eight hundred million, three hundred eighty-three thousand, seven hundred twenty-eight".