3429164059632 has 240 divisors, whose sum is σ = 10435447326720. Its totient is φ = 1047200140800.

The previous prime is 3429164059621. The next prime is 3429164059639. The reversal of 3429164059632 is 2369504619243.

3429164059632 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 1 + 6 + 40 + 596 + 3 + 2 = 666.

3429164059632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3429164059632² (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 (3429164059639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122714782 + ... + 122742722.

It is an arithmetic number, because the mean of its divisors is an integer number (43481030528).

Almost surely, 2^{3429164059632} 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 3429164059632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217723663360).

3429164059632 is an abundant number, since it is smaller than the sum of its proper divisors (7006283267088).

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

3429164059632 is a wasteful number, since it uses less digits than its factorization.

3429164059632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29452 (or 29443 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3429164059632 in words is "three trillion, four hundred twenty-nine billion, one hundred sixty-four million, fifty-nine thousand, six hundred thirty-two".