3699640330400 has 288 divisors, whose sum is σ = 10618144895232. Its totient is φ = 1232166297600.

The previous prime is 3699640330307. The next prime is 3699640330403. The reversal of 3699640330400 is 40330469963.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3699640330403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130729052 + ... + 130757348.

It is an arithmetic number, because the mean of its divisors is an integer number (36868558664).

Almost surely, 2^{3699640330400} 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 3699640330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309072447616).

3699640330400 is an abundant number, since it is smaller than the sum of its proper divisors (6918504564832).

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

3699640330400 is a wasteful number, since it uses less digits than its factorization.

3699640330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28992 (or 28979 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 47.

The spelling of 3699640330400 in words is "three trillion, six hundred ninety-nine billion, six hundred forty million, three hundred thirty thousand, four hundred".