3432842016192 has 1120 divisors, whose sum is σ = 11311654109184. Its totient is φ = 1026021427200.

The previous prime is 3432842016179. The next prime is 3432842016193. The reversal of 3432842016192 is 2916102482343.

3432842016192 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 8 + 4 + 20 + 1 + 619 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432842016193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27030252033 + ... + 27030252159.

Almost surely, 2^{3432842016192} is an apocalyptic number.

3432842016192 is a gapful number since it is divisible by the number (32) 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 3432842016192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655827054592).

3432842016192 is an abundant number, since it is smaller than the sum of its proper divisors (7878812092992).

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

3432842016192 is a wasteful number, since it uses less digits than its factorization.

3432842016192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3432842016192 in words is "three trillion, four hundred thirty-two billion, eight hundred forty-two million, sixteen thousand, one hundred ninety-two".