368113410 has 384 divisors, whose sum is σ = 1283143680. Its totient is φ = 73903104.

The previous prime is 368113399. The next prime is 368113439. The reversal of 368113410 is 14311863.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5494197 + ... + 5494263.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^368113410 is an apocalyptic number.

368113410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 368113410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

368113410 is an abundant number, since it is smaller than the sum of its proper divisors (915030270).

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

368113410 is a wasteful number, since it uses less digits than its factorization.

368113410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 368113410 is about 19186.2818180074. The cubic root of 368113410 is about 716.6831813994.

The spelling of 368113410 in words is "three hundred sixty-eight million, one hundred thirteen thousand, four hundred ten".