361441008 has 80 divisors (see below), whose sum is σ = 1047671040. Its totient is φ = 119295936.

The previous prime is 361440983. The next prime is 361441019. The reversal of 361441008 is 800144163.

361441008 is a `hidden beast` number, since 3 + 614 + 41 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40435 + ... + 48557.

It is an arithmetic number, because the mean of its divisors is an integer number (13095888).

Almost surely, 2^361441008 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 361441008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523835520).

361441008 is an abundant number, since it is smaller than the sum of its proper divisors (686230032).

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

361441008 is a wasteful number, since it uses less digits than its factorization.

361441008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 361441008 is about 19011.6019314523. The cubic root of 361441008 is about 712.3265660971.

The spelling of 361441008 in words is "three hundred sixty-one million, four hundred forty-one thousand, eight".