363434112 has 48 divisors (see below), whose sum is σ = 1045822830. Its totient is φ = 121144320.

The previous prime is 363434087. The next prime is 363434117. The reversal of 363434112 is 211434363.

It can be written as a sum of positive squares in only one way, i.e., 340623936 + 22810176 = 18456^2 + 4776^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (363434117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156589 + ... + 158892.

Almost surely, 2^363434112 is an apocalyptic number.

363434112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

363434112 is an abundant number, since it is smaller than the sum of its proper divisors (682388718).

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

363434112 is a wasteful number, since it uses less digits than its factorization.

363434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315501 (or 315486 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 363434112 is about 19063.9479646793. The cubic root of 363434112 is about 713.6335006761.

Adding to 363434112 its reverse (211434363), we get a palindrome (574868475).

The spelling of 363434112 in words is "three hundred sixty-three million, four hundred thirty-four thousand, one hundred twelve".