351369252 has 252 divisors, whose sum is σ = 1075302144. Its totient is φ = 100077120.

The previous prime is 351369251. The next prime is 351369253. The reversal of 351369252 is 252963153.

351369252 is a `hidden beast` number, since 3 + 513 + 6 + 92 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (351369251) and next prime (351369253).

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

Its product of digits (48600) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (351369251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11334477 + ... + 11334507.

It is an arithmetic number, because the mean of its divisors is an integer number (4267072).

Almost surely, 2^351369252 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 351369252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537651072).

351369252 is an abundant number, since it is smaller than the sum of its proper divisors (723932892).

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

351369252 is a wasteful number, since it uses less digits than its factorization.

351369252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

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

The square root of 351369252 is about 18744.8460116374. The cubic root of 351369252 is about 705.6476800350.

The spelling of 351369252 in words is "three hundred fifty-one million, three hundred sixty-nine thousand, two hundred fifty-two".