361077444 has 144 divisors (see below), whose sum is σ = 1182679680. Its totient is φ = 90201600.

The previous prime is 361077439. The next prime is 361077461. The reversal of 361077444 is 444770163.

It is a happy number.

361077444 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 361077399 and 361077408.

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 47 ways as a sum of consecutive naturals, for example, 59344 + ... + 65144.

Almost surely, 2^361077444 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 361077444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591339840).

361077444 is an abundant number, since it is smaller than the sum of its proper divisors (821602236).

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

361077444 is a wasteful number, since it uses less digits than its factorization.

361077444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 361077444 is about 19002.0378907106. The cubic root of 361077444 is about 712.0876491222.

It can be divided in two parts, 36 and 1077444, that multiplied together give a square (38787984 = 6228²).

The spelling of 361077444 in words is "three hundred sixty-one million, seventy-seven thousand, four hundred forty-four".