368027712 has 280 divisors, whose sum is σ = 1211657216. Its totient is φ = 109734912.

The previous prime is 368027711. The next prime is 368027731. The reversal of 368027712 is 217720863.

368027712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (368027711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2897793 + ... + 2897919.

Almost surely, 2^368027712 is an apocalyptic number.

368027712 is a gapful number since it is divisible by the number (32) 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 368027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605828608).

368027712 is an abundant number, since it is smaller than the sum of its proper divisors (843629504).

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

368027712 is a wasteful number, since it uses less digits than its factorization.

368027712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 368027712 is about 19184.0483735837. The cubic root of 368027712 is about 716.6275616906.

The spelling of 368027712 in words is "three hundred sixty-eight million, twenty-seven thousand, seven hundred twelve".