368943400 has 96 divisors (see below), whose sum is σ = 1012078080. Its totient is φ = 122400000.

The previous prime is 368943389. The next prime is 368943427. The reversal of 368943400 is 4349863.

368943400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368943400² = 272238464807120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 368943400.

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, 39150 + ... + 47650.

It is an arithmetic number, because the mean of its divisors is an integer number (10542480).

Almost surely, 2^368943400 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 368943400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506039040).

368943400 is an abundant number, since it is smaller than the sum of its proper divisors (643134680).

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

368943400 is a wasteful number, since it uses less digits than its factorization.

368943400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555 (or 8546 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 368943400 is about 19207.8994166463. The cubic root of 368943400 is about 717.2214153171.

It can be divided in two parts, 3689 and 43400, that added together give a square (47089 = 217²).

The spelling of 368943400 in words is "three hundred sixty-eight million, nine hundred forty-three thousand, four hundred".