363672342 has 96 divisors (see below), whose sum is σ = 907320960. Its totient is φ = 108241920.

The previous prime is 363672341. The next prime is 363672373. The reversal of 363672342 is 243276363.

363672342 is a `hidden beast` number, since 363 + 67 + 234 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 363672297 and 363672306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363672341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314838 + ... + 315990.

It is an arithmetic number, because the mean of its divisors is an integer number (9451260).

Almost surely, 2^363672342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363672342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453660480).

363672342 is an abundant number, since it is smaller than the sum of its proper divisors (543648618).

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

363672342 is a wasteful number, since it uses less digits than its factorization.

363672342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1228 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 363672342 is about 19070.1951222320. The cubic root of 363672342 is about 713.7893948442.

The spelling of 363672342 in words is "three hundred sixty-three million, six hundred seventy-two thousand, three hundred forty-two".