353749032 has 240 divisors, whose sum is σ = 1242701460. Its totient is φ = 93187584.

The previous prime is 353749031. The next prime is 353749043. The reversal of 353749032 is 230947353.

353749032 is a `hidden beast` number, since 3 + 537 + 4 + 90 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 352463076 + 1285956 = 18774^2 + 1134^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353749031) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 412348 + ... + 413204.

Almost surely, 2^353749032 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 353749032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621350730).

353749032 is an abundant number, since it is smaller than the sum of its proper divisors (888952428).

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

353749032 is a wasteful number, since it uses less digits than its factorization.

353749032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 353749032 is about 18808.2171403884. The cubic root of 353749032 is about 707.2371847407.

The spelling of 353749032 in words is "three hundred fifty-three million, seven hundred forty-nine thousand, thirty-two".