3493797888000 has 1088 divisors, whose sum is σ = 13881765261312. Its totient is φ = 762996326400.

The previous prime is 3493797887999. The next prime is 3493797888017. The reversal of 3493797888000 is 8887973943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3956735559 + ... + 3956736441.

It is an arithmetic number, because the mean of its divisors is an integer number (12758975424).

Almost surely, 2^{3493797888000} is an apocalyptic number.

3493797888000 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 3493797888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940882630656).

3493797888000 is an abundant number, since it is smaller than the sum of its proper divisors (10387967373312).

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

3493797888000 is an frugal number, since it uses more digits than its factorization.

3493797888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

The spelling of 3493797888000 in words is "three trillion, four hundred ninety-three billion, seven hundred ninety-seven million, eight hundred eighty-eight thousand".