3490935127680 has 2048 divisors, whose sum is σ = 15723050434560. Its totient is φ = 635019264000.

The previous prime is 3490935127663. The next prime is 3490935127681. The reversal of 3490935127680 is 867215390943.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3490935127680.

It is not an unprimeable number, because it can be changed into a prime (3490935127681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6674827899 + ... + 6674828421.

It is an arithmetic number, because the mean of its divisors is an integer number (7677270720).

It is a 1-persistent number, because it is pandigital, but 2⋅3490935127680 = 6981870255360 is not.

Almost surely, 2^{3490935127680} is an apocalyptic number.

3490935127680 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 3490935127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861525217280).

3490935127680 is an abundant number, since it is smaller than the sum of its proper divisors (12232115306880).

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

3490935127680 is a wasteful number, since it uses less digits than its factorization.

3490935127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 3490935127680 in words is "three trillion, four hundred ninety billion, nine hundred thirty-five million, one hundred twenty-seven thousand, six hundred eighty".