350053632 has 108 divisors (see below), whose sum is σ = 1017574740. Its totient is φ = 115728384.

The previous prime is 350053621. The next prime is 350053651. The reversal of 350053632 is 236350053.

It can be written as a sum of positive squares in 2 ways, for example, as 80568576 + 269485056 = 8976^2 + 16416^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 350053596 and 350053605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315094 + ... + 316202.

Almost surely, 2^350053632 is an apocalyptic number.

350053632 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 350053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508787370).

350053632 is an abundant number, since it is smaller than the sum of its proper divisors (667521108).

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

350053632 is a wasteful number, since it uses less digits than its factorization.

350053632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 350053632 is about 18709.7202544560. The cubic root of 350053632 is about 704.7658676276.

The spelling of 350053632 in words is "three hundred fifty million, fifty-three thousand, six hundred thirty-two".