361039392 has 288 divisors, whose sum is σ = 1245404160. Its totient is φ = 97044480.

The previous prime is 361039381. The next prime is 361039397. The reversal of 361039392 is 293930163.

It is a happy number.

361039392 is a `hidden beast` number, since 3 + 610 + 3 + 9 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (361039397) 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, 3312234 + ... + 3312342.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2^361039392 is an apocalyptic number.

361039392 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 361039392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

361039392 is an abundant number, since it is smaller than the sum of its proper divisors (884364768).

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

361039392 is a wasteful number, since it uses less digits than its factorization.

361039392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 361039392 is about 19001.0366033014. The cubic root of 361039392 is about 712.0626338874.

The spelling of 361039392 in words is "three hundred sixty-one million, thirty-nine thousand, three hundred ninety-two".