349745760 has 576 divisors, whose sum is σ = 1565246592. Its totient is φ = 69009408.

The previous prime is 349745731. The next prime is 349745801. The reversal of 349745760 is 67547943.

349745760 = T₄₄₅₃ + T₄₄₅₄ + ... + T₄₄₈₇.

349745760 is a `hidden beast` number, since 3 + 4 + 9 + 74 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227602 + ... + 2227758.

It is an arithmetic number, because the mean of its divisors is an integer number (2717442).

Almost surely, 2^349745760 is an apocalyptic number.

349745760 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 349745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782623296).

349745760 is an abundant number, since it is smaller than the sum of its proper divisors (1215500832).

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

349745760 is a wasteful number, since it uses less digits than its factorization.

349745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 349745760 is about 18701.4908496622. The cubic root of 349745760 is about 704.5591932792.

The spelling of 349745760 in words is "three hundred forty-nine million, seven hundred forty-five thousand, seven hundred sixty".