361256016 has 80 divisors (see below), whose sum is σ = 1053236160. Its totient is φ = 105692160.

The previous prime is 361255957. The next prime is 361256057. The reversal of 361256016 is 610652163.

361256016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 3516 + ... + 27108.

It is an arithmetic number, because the mean of its divisors is an integer number (13165452).

Almost surely, 2^361256016 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 361256016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526618080).

361256016 is an abundant number, since it is smaller than the sum of its proper divisors (691980144).

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

361256016 is a wasteful number, since it uses less digits than its factorization.

361256016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23644 (or 23638 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 361256016 is about 19006.7360690888. The cubic root of 361256016 is about 712.2050181809.

The spelling of 361256016 in words is "three hundred sixty-one million, two hundred fifty-six thousand, sixteen".