368796120 has 256 divisors, whose sum is σ = 1393459200. Its totient is φ = 75855360.

The previous prime is 368796049. The next prime is 368796121. The reversal of 368796120 is 21697863.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368796121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1542961 + ... + 1543199.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^368796120 is an apocalyptic number.

368796120 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 368796120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

368796120 is an abundant number, since it is smaller than the sum of its proper divisors (1024663080).

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

368796120 is a wasteful number, since it uses less digits than its factorization.

368796120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 368796120 is about 19204.0651946404. The cubic root of 368796120 is about 717.1259657811.

The spelling of 368796120 in words is "three hundred sixty-eight million, seven hundred ninety-six thousand, one hundred twenty".