368610880 has 224 divisors, whose sum is σ = 1040221440. Its totient is φ = 123002880.

The previous prime is 368610877. The next prime is 368610889. The reversal of 368610880 is 88016863.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368610889) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2347762 + ... + 2347918.

Almost surely, 2^368610880 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 368610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520110720).

368610880 is an abundant number, since it is smaller than the sum of its proper divisors (671610560).

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

368610880 is a wasteful number, since it uses less digits than its factorization.

368610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 368610880 is about 19199.2416516903. The cubic root of 368610880 is about 717.0058789598.

The spelling of 368610880 in words is "three hundred sixty-eight million, six hundred ten thousand, eight hundred eighty".