361034538485760 has 2304 divisors, whose sum is σ = 1425682497657600. Its totient is φ = 83950772944896.

The previous prime is 361034538485759. The next prime is 361034538485771. The reversal of 361034538485760 is 67584835430163.

361034538485760 is a `hidden beast` number, since 3 + 6 + 1 + 0 + 3 + 4 + 53 + 8 + 4 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 313126225344 + ... + 313126226496.

It is an arithmetic number, because the mean of its divisors is an integer number (618785806275).

Almost surely, 2^{361034538485760} is an apocalyptic number.

361034538485760 is a gapful number since it is divisible by the number (30) 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 361034538485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712841248828800).

361034538485760 is an abundant number, since it is smaller than the sum of its proper divisors (1064647959171840).

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

361034538485760 is a wasteful number, since it uses less digits than its factorization.

361034538485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 361034538485760 in words is "three hundred sixty-one trillion, thirty-four billion, five hundred thirty-eight million, four hundred eighty-five thousand, seven hundred sixty".