352249632 has 216 divisors, whose sum is σ = 1181079900. Its totient is φ = 99283968.

The previous prime is 352249627. The next prime is 352249643. The reversal of 352249632 is 236942253.

It is a happy number.

352249632 is a `hidden beast` number, since 352 + 249 + 63 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 308213136 + 44036496 = 17556^2 + 6636^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1538094 + ... + 1538322.

Almost surely, 2^352249632 is an apocalyptic number.

352249632 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 352249632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590539950).

352249632 is an abundant number, since it is smaller than the sum of its proper divisors (828830268).

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

352249632 is a wasteful number, since it uses less digits than its factorization.

352249632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 352249632 is about 18768.3145753688. The cubic root of 352249632 is about 706.2365382142.

The spelling of 352249632 in words is "three hundred fifty-two million, two hundred forty-nine thousand, six hundred thirty-two".