368676000 has 864 divisors, whose sum is σ = 1747811520. Its totient is φ = 72576000.

The previous prime is 368675987. The next prime is 368676001. The reversal of 368676000 is 676863.

It is a happy number.

It is a super-3 number, since 3×368676000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (368676001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19403991 + ... + 19404009.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 2^368676000 is an apocalyptic number.

368676000 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 368676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873905760).

368676000 is an abundant number, since it is smaller than the sum of its proper divisors (1379135520).

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

368676000 is a wasteful number, since it uses less digits than its factorization.

368676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 368676000 is about 19200.9374771129. The cubic root of 368676000 is about 717.0480993391.

The spelling of 368676000 in words is "three hundred sixty-eight million, six hundred seventy-six thousand".