361482912 has 288 divisors, whose sum is σ = 1265846400. Its totient is φ = 99283968.

The previous prime is 361482899. The next prime is 361482931. The reversal of 361482912 is 219284163.

361482912 is a `hidden beast` number, since 3 + 614 + 8 + 29 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578414 + ... + 1578642.

It is an arithmetic number, because the mean of its divisors is an integer number (4395300).

Almost surely, 2^361482912 is an apocalyptic number.

361482912 is a gapful number since it is divisible by the number (32) 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 361482912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632923200).

361482912 is an abundant number, since it is smaller than the sum of its proper divisors (904363488).

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

361482912 is a wasteful number, since it uses less digits than its factorization.

361482912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 361482912 is about 19012.7039634030. The cubic root of 361482912 is about 712.3540931147.

It can be divided in two parts, 36148 and 2912, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 361482912 in words is "three hundred sixty-one million, four hundred eighty-two thousand, nine hundred twelve".