369959824 has 40 divisors (see below), whose sum is σ = 776920760. Its totient is φ = 169648128.

The previous prime is 369959813. The next prime is 369959827. The reversal of 369959824 is 428959963.

It is a happy number.

369959824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90000 + 369869824 = 300^2 + 19232^2 .

It is a super-2 number, since 2×369959824² = 273740542748221952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (369959827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26992 + ... + 38320.

It is an arithmetic number, because the mean of its divisors is an integer number (19423019).

Almost surely, 2^369959824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369959824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388460380).

369959824 is an abundant number, since it is smaller than the sum of its proper divisors (406960936).

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

369959824 is a wasteful number, since it uses less digits than its factorization.

369959824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11507 (or 11501 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 55.

The square root of 369959824 is about 19234.3397079286. The cubic root of 369959824 is about 717.8794499701.

The spelling of 369959824 in words is "three hundred sixty-nine million, nine hundred fifty-nine thousand, eight hundred twenty-four".