3609461760000 has 1120 divisors, whose sum is σ = 13310203471488. Its totient is φ = 865075200000.

The previous prime is 3609461759999. The next prime is 3609461760007. The reversal of 3609461760000 is 671649063.

It is not an unprimeable number, because it can be changed into a prime (3609461760007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6005759700 + ... + 6005760300.

Almost surely, 2^{3609461760000} is an apocalyptic number.

3609461760000 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 3609461760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655101735744).

3609461760000 is an abundant number, since it is smaller than the sum of its proper divisors (9700741711488).

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

3609461760000 is an equidigital number, since it uses as much as digits as its factorization.

3609461760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 3609461760000 in words is "three trillion, six hundred nine billion, four hundred sixty-one million, seven hundred sixty thousand".