3498956263776 has 96 divisors (see below), whose sum is σ = 9487783065600. Its totient is φ = 1127893155840.

The previous prime is 3498956263681. The next prime is 3498956263787. The reversal of 3498956263776 is 6773626598943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3498956263698 and 3498956263707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3775965 + ... + 4610403.

It is an arithmetic number, because the mean of its divisors is an integer number (98831073600).

Almost surely, 2^{3498956263776} 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 3498956263776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743891532800).

3498956263776 is an abundant number, since it is smaller than the sum of its proper divisors (5988826801824).

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

3498956263776 is a wasteful number, since it uses less digits than its factorization.

3498956263776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835892 (or 835884 counting only the distinct ones).

The product of its digits is 2469035520, while the sum is 75.

The spelling of 3498956263776 in words is "three trillion, four hundred ninety-eight billion, nine hundred fifty-six million, two hundred sixty-three thousand, seven hundred seventy-six".