3504091136000 has 1536 divisors, whose sum is σ = 11747982355200. Its totient is φ = 1030540492800.

The previous prime is 3504091135981. The next prime is 3504091136003. The reversal of 3504091136000 is 6311904053.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504091136003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44355583961 + ... + 44355584039.

Almost surely, 2^{3504091136000} 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 3504091136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873991177600).

3504091136000 is an abundant number, since it is smaller than the sum of its proper divisors (8243891219200).

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

3504091136000 is an equidigital number, since it uses as much as digits as its factorization.

3504091136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 3504091136000 in words is "three trillion, five hundred four billion, ninety-one million, one hundred thirty-six thousand".