3468932090676 has 144 divisors (see below), whose sum is σ = 9618014689920. Its totient is φ = 1047660514560.

The previous prime is 3468932090639. The next prime is 3468932090707. The reversal of 3468932090676 is 6760902398643.

3468932090676 is a `hidden beast` number, since 3 + 468 + 9 + 3 + 20 + 90 + 67 + 6 = 666.

It is a super-2 number, since 2×3468932090676² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17934441 + ... + 18126831.

It is an arithmetic number, because the mean of its divisors is an integer number (66791768680).

Almost surely, 2^{3468932090676} is an apocalyptic number.

3468932090676 is a gapful number since it is divisible by the number (36) 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 3468932090676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809007344960).

3468932090676 is an abundant number, since it is smaller than the sum of its proper divisors (6149082599244).

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

3468932090676 is a wasteful number, since it uses less digits than its factorization.

3468932090676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193126 (or 193121 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 3468932090676 in words is "three trillion, four hundred sixty-eight billion, nine hundred thirty-two million, ninety thousand, six hundred seventy-six".