3668342400 has 144 divisors (see below), whose sum is σ = 13089589110. Its totient is φ = 978216960.

The previous prime is 3668342389. The next prime is 3668342423. The reversal of 3668342400 is 42438663.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2228595264 + 1439747136 = 47208^2 + 37944^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34887 + ... + 92486.

Almost surely, 2^3668342400 is an apocalyptic number.

3668342400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3668342400 is an abundant number, since it is smaller than the sum of its proper divisors (9421246710).

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

3668342400 is a wasteful number, since it uses less digits than its factorization.

3668342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127403 (or 127383 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3668342400 is about 60566.8424139809. The cubic root of 3668342400 is about 1542.2565445971.

The spelling of 3668342400 in words is "three billion, six hundred sixty-eight million, three hundred forty-two thousand, four hundred".