349642560 has 224 divisors, whose sum is σ = 1210665600. Its totient is φ = 85155840.

The previous prime is 349642549. The next prime is 349642567. The reversal of 349642560 is 65246943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349642567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528630 + ... + 529290.

Almost surely, 2^349642560 is an apocalyptic number.

349642560 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 349642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605332800).

349642560 is an abundant number, since it is smaller than the sum of its proper divisors (861023040).

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

349642560 is a wasteful number, since it uses less digits than its factorization.

349642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 349642560 is about 18698.7315077788. The cubic root of 349642560 is about 704.4898880201.

It can be divided in two parts, 3496 and 42560, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 349642560 in words is "three hundred forty-nine million, six hundred forty-two thousand, five hundred sixty".