361984672 has 96 divisors (see below), whose sum is σ = 900087552. Its totient is φ = 139628544.

The previous prime is 361984657. The next prime is 361984709. The reversal of 361984672 is 276489163.

361984672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 15 ways as a sum of consecutive naturals, for example, 85518 + ... + 89650.

It is an arithmetic number, because the mean of its divisors is an integer number (9375912).

Almost surely, 2^361984672 is an apocalyptic number.

361984672 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 361984672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450043776).

361984672 is an abundant number, since it is smaller than the sum of its proper divisors (538102880).

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

361984672 is a wasteful number, since it uses less digits than its factorization.

361984672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4182 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 361984672 is about 19025.8947752793. The cubic root of 361984672 is about 712.6835374921.

The spelling of 361984672 in words is "three hundred sixty-one million, nine hundred eighty-four thousand, six hundred seventy-two".