361952032 has 144 divisors (see below), whose sum is σ = 850010112. Its totient is φ = 150958080.

The previous prime is 361952021. The next prime is 361952051. The reversal of 361952032 is 230259163.

361952032 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 (31).

It is a junction number, because it is equal to n+sod(n) for n = 361951985 and 361952003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2849953 + ... + 2850079.

It is an arithmetic number, because the mean of its divisors is an integer number (5902848).

Almost surely, 2^361952032 is an apocalyptic number.

361952032 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 361952032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425005056).

361952032 is an abundant number, since it is smaller than the sum of its proper divisors (488058080).

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

361952032 is a wasteful number, since it uses less digits than its factorization.

361952032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 361952032 is about 19025.0369776250. The cubic root of 361952032 is about 712.6621160603.

The spelling of 361952032 in words is "three hundred sixty-one million, nine hundred fifty-two thousand, thirty-two".