349793760 has 96 divisors (see below), whose sum is σ = 1111773600. Its totient is φ = 92438528.

The previous prime is 349793723. The next prime is 349793761. The reversal of 349793760 is 67397943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349793761) 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, 51016 + ... + 57464.

It is an arithmetic number, because the mean of its divisors is an integer number (11580975).

Almost surely, 2^349793760 is an apocalyptic number.

349793760 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 349793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555886800).

349793760 is an abundant number, since it is smaller than the sum of its proper divisors (761979840).

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

349793760 is a wasteful number, since it uses less digits than its factorization.

349793760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The square root of 349793760 is about 18702.7741257814. The cubic root of 349793760 is about 704.5914236383.

The spelling of 349793760 in words is "three hundred forty-nine million, seven hundred ninety-three thousand, seven hundred sixty".