369608064 has 128 divisors (see below), whose sum is σ = 1181241600. Its totient is φ = 100030464.

The previous prime is 369608039. The next prime is 369608087. The reversal of 369608064 is 460806963.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×369608064² = 273220241947656192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47454 + ... + 54690.

It is an arithmetic number, because the mean of its divisors is an integer number (9228450).

Almost surely, 2^369608064 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 369608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590620800).

369608064 is an abundant number, since it is smaller than the sum of its proper divisors (811633536).

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

369608064 is a wasteful number, since it uses less digits than its factorization.

369608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 369608064 is about 19225.1934710681. The cubic root of 369608064 is about 717.6518564729.

The spelling of 369608064 in words is "three hundred sixty-nine million, six hundred eight thousand, sixty-four".