3429967122432 has 78 divisors (see below), whose sum is σ = 9907584446162. Its totient is φ = 1143322361856.

The previous prime is 3429967122431. The next prime is 3429967122433. The reversal of 3429967122432 is 2342217699243.

3429967122432 is a `hidden beast` number, since 3 + 4 + 29 + 9 + 67 + 122 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (3429967122431) and next prime (3429967122433).

It can be written as a sum of positive squares in only one way, i.e., 2110813802496 + 1319153319936 = 1452864^2 + 1148544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429967122431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46485043 + ... + 46558770.

Almost surely, 2^{3429967122432} is an apocalyptic number.

3429967122432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3429967122432 is an abundant number, since it is smaller than the sum of its proper divisors (6477617323730).

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

3429967122432 is an equidigital number, since it uses as much as digits as its factorization.

3429967122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93043843 (or 93043818 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 3429967122432 in words is "three trillion, four hundred twenty-nine billion, nine hundred sixty-seven million, one hundred twenty-two thousand, four hundred thirty-two".