361024016 has 80 divisors (see below), whose sum is σ = 786854400. Its totient is φ = 159667200.

The previous prime is 361024003. The next prime is 361024117. The reversal of 361024016 is 610420163.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 361023982 and 361024000.

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, 272636 + ... + 273956.

It is an arithmetic number, because the mean of its divisors is an integer number (9835680).

Almost surely, 2^361024016 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 361024016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393427200).

361024016 is an abundant number, since it is smaller than the sum of its proper divisors (425830384).

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

361024016 is a wasteful number, since it uses less digits than its factorization.

361024016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 361024016 is about 19000.6319894892. The cubic root of 361024016 is about 712.0525252670.

Adding to 361024016 its reverse (610420163), we get a palindrome (971444179).

The spelling of 361024016 in words is "three hundred sixty-one million, twenty-four thousand, sixteen".