361044432 has 320 divisors, whose sum is σ = 1285632000. Its totient is φ = 94735872.

The previous prime is 361044407. The next prime is 361044491. The reversal of 361044432 is 234440163.

361044432 is a `hidden beast` number, since 3 + 610 + 4 + 4 + 43 + 2 = 666.

361044432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 361044396 and 361044405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2016919 + ... + 2017097.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2^361044432 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 361044432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816000).

361044432 is an abundant number, since it is smaller than the sum of its proper divisors (924587568).

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

361044432 is a wasteful number, since it uses less digits than its factorization.

361044432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 361044432 is about 19001.1692271818. The cubic root of 361044432 is about 712.0659472645.

Adding to 361044432 its reverse (234440163), we get a palindrome (595484595).

The spelling of 361044432 in words is "three hundred sixty-one million, forty-four thousand, four hundred thirty-two".