361213776 has 160 divisors (see below), whose sum is σ = 1292774400. Its totient is φ = 93813120.

The previous prime is 361213771. The next prime is 361213777. The reversal of 361213776 is 677312163.

361213776 is a `hidden beast` number, since 3 + 612 + 1 + 37 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 361213776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361213771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27835 + ... + 38693.

It is an arithmetic number, because the mean of its divisors is an integer number (8079840).

Almost surely, 2^361213776 is an apocalyptic number.

361213776 is a gapful number since it is divisible by the number (36) 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 361213776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646387200).

361213776 is an abundant number, since it is smaller than the sum of its proper divisors (931560624).

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

361213776 is a wasteful number, since it uses less digits than its factorization.

361213776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10882 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 361213776 is about 19005.6248516064. The cubic root of 361213776 is about 712.1772588161.

The spelling of 361213776 in words is "three hundred sixty-one million, two hundred thirteen thousand, seven hundred seventy-six".