368400340 has 192 divisors, whose sum is σ = 1020418560. Its totient is φ = 108380160.

The previous prime is 368400317. The next prime is 368400359. The reversal of 368400340 is 43004863.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 368400299 and 368400308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3260124 + ... + 3260236.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2^368400340 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 368400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510209280).

368400340 is an abundant number, since it is smaller than the sum of its proper divisors (652018220).

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

368400340 is a wasteful number, since it uses less digits than its factorization.

368400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 368400340 is about 19193.7578394644. The cubic root of 368400340 is about 716.8693418723.

The spelling of 368400340 in words is "three hundred sixty-eight million, four hundred thousand, three hundred forty".