368060400 has 180 divisors, whose sum is σ = 1344746520. Its totient is φ = 92966400.

The previous prime is 368060393. The next prime is 368060401. The reversal of 368060400 is 4060863.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368060401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65710 + ... + 71090.

It is an arithmetic number, because the mean of its divisors is an integer number (7470814).

Almost surely, 2^368060400 is an apocalyptic number.

368060400 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 368060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672373260).

368060400 is an abundant number, since it is smaller than the sum of its proper divisors (976686120).

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

368060400 is a wasteful number, since it uses less digits than its factorization.

368060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 368060400 is about 19184.9003124853. The cubic root of 368060400 is about 716.6487778721.

The spelling of 368060400 in words is "three hundred sixty-eight million, sixty thousand, four hundred".