351262368 has 72 divisors (see below), whose sum is σ = 1001247156. Its totient is φ = 116812800.

The previous prime is 351262357. The next prime is 351262369. The reversal of 351262368 is 863262153.

It is a happy number.

351262368 is a `hidden beast` number, since 35 + 1 + 262 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 350887824 + 374544 = 18732^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (351262369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148878 + ... + 151218.

Almost surely, 2^351262368 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 351262368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500623578).

351262368 is an abundant number, since it is smaller than the sum of its proper divisors (649984788).

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

351262368 is a wasteful number, since it uses less digits than its factorization.

351262368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2867 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 351262368 is about 18741.9947711016. The cubic root of 351262368 is about 705.5761217952.

The spelling of 351262368 in words is "three hundred fifty-one million, two hundred sixty-two thousand, three hundred sixty-eight".