349531560 has 384 divisors, whose sum is σ = 1415232000. Its totient is φ = 72990720.

The previous prime is 349531549. The next prime is 349531561. The reversal of 349531560 is 65135943.

349531560 is a `hidden beast` number, since 3 + 4 + 95 + 3 + 1 + 560 = 666.

It is a super-2 number, since 2×349531560² = 244344622872067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (349531561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756341 + ... + 1756539.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^349531560 is an apocalyptic number.

349531560 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 349531560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

349531560 is an abundant number, since it is smaller than the sum of its proper divisors (1065700440).

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

349531560 is a wasteful number, since it uses less digits than its factorization.

349531560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 349531560 is about 18695.7631563946. The cubic root of 349531560 is about 704.4153293488.

The spelling of 349531560 in words is "three hundred forty-nine million, five hundred thirty-one thousand, five hundred sixty".