351729648 has 80 divisors (see below), whose sum is σ = 1012033440. Its totient is φ = 116960256.

The previous prime is 351729647. The next prime is 351729671. The reversal of 351729648 is 846927153.

351729648 is a `hidden beast` number, since 3 + 517 + 2 + 96 + 48 = 666.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351729647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255490 + ... + 256862.

It is an arithmetic number, because the mean of its divisors is an integer number (12650418).

Almost surely, 2^351729648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351729648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506016720).

351729648 is an abundant number, since it is smaller than the sum of its proper divisors (660303792).

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

351729648 is a wasteful number, since it uses less digits than its factorization.

351729648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1971 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 351729648 is about 18754.4567503300. The cubic root of 351729648 is about 705.8888562342. Note that the first 4 decimals are identical.

The spelling of 351729648 in words is "three hundred fifty-one million, seven hundred twenty-nine thousand, six hundred forty-eight".