3609941904000 has 768 divisors, whose sum is σ = 13673098857600. Its totient is φ = 946274918400.

The previous prime is 3609941903983. The next prime is 3609941904103. The reversal of 3609941904000 is 4091499063.

3609941904000 is a `hidden beast` number, since 36 + 0 + 99 + 41 + 90 + 400 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 229384132 + ... + 229399868.

Almost surely, 2^{3609941904000} is an apocalyptic number.

3609941904000 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 3609941904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836549428800).

3609941904000 is an abundant number, since it is smaller than the sum of its proper divisors (10063156953600).

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

3609941904000 is an equidigital number, since it uses as much as digits as its factorization.

3609941904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15840 (or 15806 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 3609941904000 in words is "three trillion, six hundred nine billion, nine hundred forty-one million, nine hundred four thousand".