368349120 has 196 divisors, whose sum is σ = 1315928280. Its totient is φ = 98164224.

The previous prime is 368349119. The next prime is 368349127. The reversal of 368349120 is 21943863.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368349127) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 232491 + ... + 234069.

Almost surely, 2^368349120 is an apocalyptic number.

368349120 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 368349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657964140).

368349120 is an abundant number, since it is smaller than the sum of its proper divisors (947579160).

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

368349120 is an equidigital number, since it uses as much as digits as its factorization.

368349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 368349120 is about 19192.4235051231. The cubic root of 368349120 is about 716.8361173739.

It can be divided in two parts, 36834 and 9120, that added together give a palindrome (45954).

The spelling of 368349120 in words is "three hundred sixty-eight million, three hundred forty-nine thousand, one hundred twenty".