361306370880 has 840 divisors, whose sum is σ = 1590648250752. Its totient is φ = 76225204224.

The previous prime is 361306370879. The next prime is 361306370897. The reversal of 361306370880 is 88073603163.

361306370880 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 0 + 637 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×361306370880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30657469 + ... + 30669251.

Almost surely, 2^361306370880 is an apocalyptic number.

361306370880 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 361306370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795324125376).

361306370880 is an abundant number, since it is smaller than the sum of its proper divisors (1229341879872).

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

361306370880 is a wasteful number, since it uses less digits than its factorization.

361306370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11845 (or 11813 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 361306370880 in words is "three hundred sixty-one billion, three hundred six million, three hundred seventy thousand, eight hundred eighty".