368400960 has 280 divisors, whose sum is σ = 1337666616. Its totient is φ = 96215040.

The previous prime is 368400941. The next prime is 368400961. The reversal of 368400960 is 69004863.

It can be written as a sum of positive squares in 4 ways, for example, as 7096896 + 361304064 = 2664^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (368400961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1581004 + ... + 1581236.

Almost surely, 2^368400960 is an apocalyptic number.

368400960 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 368400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668833308).

368400960 is an abundant number, since it is smaller than the sum of its proper divisors (969265656).

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

368400960 is a wasteful number, since it uses less digits than its factorization.

368400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 368400960 is about 19193.7739905418. The cubic root of 368400960 is about 716.8697440242.

The spelling of 368400960 in words is "three hundred sixty-eight million, four hundred thousand, nine hundred sixty".