369940080 has 80 divisors (see below), whose sum is σ = 1149703200. Its totient is φ = 98402304.

The previous prime is 369940057. The next prime is 369940093. The reversal of 369940080 is 80049963.

369940080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 106044 + ... + 109476.

It is an arithmetic number, because the mean of its divisors is an integer number (14371290).

Almost surely, 2^369940080 is an apocalyptic number.

369940080 is a gapful number since it is divisible by the number (30) 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 369940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574851600).

369940080 is an abundant number, since it is smaller than the sum of its proper divisors (779763120).

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

369940080 is a wasteful number, since it uses less digits than its factorization.

369940080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 369940080 is about 19233.8264523729. The cubic root of 369940080 is about 717.8666791564.

The spelling of 369940080 in words is "three hundred sixty-nine million, nine hundred forty thousand, eighty".