3668918400 has 288 divisors, whose sum is σ = 14962584000. Its totient is φ = 838563840.

The previous prime is 3668918381. The next prime is 3668918413. The reversal of 3668918400 is 48198663.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192501 + ... + 210699.

Almost surely, 2^3668918400 is an apocalyptic number.

3668918400 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 3668918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481292000).

3668918400 is an abundant number, since it is smaller than the sum of its proper divisors (11293665600).

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

3668918400 is a wasteful number, since it uses less digits than its factorization.

3668918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18236 (or 18216 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3668918400 is about 60571.5973043472. The cubic root of 3668918400 is about 1542.3372616424.

The spelling of 3668918400 in words is "three billion, six hundred sixty-eight million, nine hundred eighteen thousand, four hundred".