369967104 has 180 divisors, whose sum is σ = 1156937236. Its totient is φ = 113246208.

The previous prime is 369967061. The next prime is 369967109. The reversal of 369967104 is 401769963.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 298598400 = 8448^2 + 17280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 369967104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369967109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1916832 + ... + 1917024.

Almost surely, 2^369967104 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 369967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578468618).

369967104 is an abundant number, since it is smaller than the sum of its proper divisors (786970132).

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

369967104 is a wasteful number, since it uses less digits than its factorization.

369967104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 369967104 is about 19234.5289518615. The cubic root of 369967104 is about 717.8841587049.

It can be divided in two parts, 36996 and 7104, that added together give a square (44100 = 210²).

The spelling of 369967104 in words is "three hundred sixty-nine million, nine hundred sixty-seven thousand, one hundred four".