349581312 has 208 divisors, whose sum is σ = 1081212000. Its totient is φ = 111476736.

The previous prime is 349581311. The next prime is 349581329. The reversal of 349581312 is 213185943.

349581312 is a `hidden beast` number, since 3 + 49 + 581 + 31 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349581311) 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, 3207114 + ... + 3207222.

Almost surely, 2^349581312 is an apocalyptic number.

349581312 is a gapful number since it is divisible by the number (32) 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 349581312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540606000).

349581312 is an abundant number, since it is smaller than the sum of its proper divisors (731630688).

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

349581312 is a wasteful number, since it uses less digits than its factorization.

349581312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 143 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 349581312 is about 18697.0936778955. The cubic root of 349581312 is about 704.4487497060.

The spelling of 349581312 in words is "three hundred forty-nine million, five hundred eighty-one thousand, three hundred twelve".