351482112 has 144 divisors (see below), whose sum is σ = 1048653760. Its totient is φ = 116121600.

The previous prime is 351482107. The next prime is 351482137. The reversal of 351482112 is 211284153.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458312 + ... + 1458552.

Almost surely, 2^351482112 is an apocalyptic number.

351482112 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 351482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524326880).

351482112 is an abundant number, since it is smaller than the sum of its proper divisors (697171648).

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

351482112 is a wasteful number, since it uses less digits than its factorization.

351482112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 457 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 351482112 is about 18747.8561974429. The cubic root of 351482112 is about 705.7232234237.

The spelling of 351482112 in words is "three hundred fifty-one million, four hundred eighty-two thousand, one hundred twelve".