3431988609504 has 1152 divisors, whose sum is σ = 12289029903360. Its totient is φ = 813753630720.

The previous prime is 3431988609457. The next prime is 3431988609547. The reversal of 3431988609504 is 4059068891343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19838084362 + ... + 19838084534.

It is an arithmetic number, because the mean of its divisors is an integer number (10667560680).

Almost surely, 2^{3431988609504} is an apocalyptic number.

3431988609504 is a gapful number since it is divisible by the number (34) 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 3431988609504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144514951680).

3431988609504 is an abundant number, since it is smaller than the sum of its proper divisors (8857041293856).

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

3431988609504 is a wasteful number, since it uses less digits than its factorization.

3431988609504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 3431988609504 in words is "three trillion, four hundred thirty-one billion, nine hundred eighty-eight million, six hundred nine thousand, five hundred four".