3429468874832 has 320 divisors, whose sum is σ = 9630343618560. Its totient is φ = 1139065804800.

The previous prime is 3429468874829. The next prime is 3429468874837. The reversal of 3429468874832 is 2384788649243.

It is a super-2 number, since 2×3429468874832² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429468874837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10522157 + ... + 10843187.

It is an arithmetic number, because the mean of its divisors is an integer number (30094823808).

Almost surely, 2^{3429468874832} 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 3429468874832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815171809280).

3429468874832 is an abundant number, since it is smaller than the sum of its proper divisors (6200874743728).

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

3429468874832 is a wasteful number, since it uses less digits than its factorization.

3429468874832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321122 (or 321116 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 68.

The spelling of 3429468874832 in words is "three trillion, four hundred twenty-nine billion, four hundred sixty-eight million, eight hundred seventy-four thousand, eight hundred thirty-two".