368048772 has 336 divisors, whose sum is σ = 1268229760. Its totient is φ = 90699264.

The previous prime is 368048761. The next prime is 368048803. The reversal of 368048772 is 277840863.

It is a happy number.

368048772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5041728 + ... + 5041800.

Almost surely, 2^368048772 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 368048772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634114880).

368048772 is an abundant number, since it is smaller than the sum of its proper divisors (900180988).

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

368048772 is a wasteful number, since it uses less digits than its factorization.

368048772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 368048772 is about 19184.5972592598. The cubic root of 368048772 is about 716.6412308501.

The spelling of 368048772 in words is "three hundred sixty-eight million, forty-eight thousand, seven hundred seventy-two".