369681408 has 110 divisors (see below), whose sum is σ = 1104188646. Its totient is φ = 123199488.

The previous prime is 369681407. The next prime is 369681443. The reversal of 369681408 is 804186963.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 29942784 = 18432^2 + 5472^2 .

It is not an unprimeable number, because it can be changed into a prime (369681401) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80716 + ... + 85172.

Almost surely, 2^369681408 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 369681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552094323).

369681408 is an abundant number, since it is smaller than the sum of its proper divisors (734507238).

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

369681408 is an equidigital number, since it uses as much as digits as its factorization.

369681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 369681408 is about 19227.1008735066. The cubic root of 369681408 is about 717.6993229485.

The spelling of 369681408 in words is "three hundred sixty-nine million, six hundred eighty-one thousand, four hundred eight".