368111040 has 168 divisors, whose sum is σ = 1285067280. Its totient is φ = 89210880.

The previous prime is 368111017. The next prime is 368111057. The reversal of 368111040 is 40111863.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 368111040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114576 + ... + 117744.

It is an arithmetic number, because the mean of its divisors is an integer number (7649210).

Almost surely, 2^368111040 is an apocalyptic number.

368111040 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 368111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642533640).

368111040 is an abundant number, since it is smaller than the sum of its proper divisors (916956240).

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

368111040 is a wasteful number, since it uses less digits than its factorization.

368111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 368111040 is about 19186.2200550291. The cubic root of 368111040 is about 716.6816433382.

The spelling of 368111040 in words is "three hundred sixty-eight million, one hundred eleven thousand, forty".