3432609165120 has 448 divisors, whose sum is σ = 11366008093440. Its totient is φ = 876640665600.

The previous prime is 3432609165101. The next prime is 3432609165137. The reversal of 3432609165120 is 215619062343.

It is a super-2 number, since 2×3432609165120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2877291244 + ... + 2877292436.

It is an arithmetic number, because the mean of its divisors is an integer number (25370553780).

Almost surely, 2^{3432609165120} is an apocalyptic number.

3432609165120 is a gapful number since it is divisible by the number (30) 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 3432609165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683004046720).

3432609165120 is an abundant number, since it is smaller than the sum of its proper divisors (7933398928320).

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

3432609165120 is a wasteful number, since it uses less digits than its factorization.

3432609165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 3432609165120 in words is "three trillion, four hundred thirty-two billion, six hundred nine million, one hundred sixty-five thousand, one hundred twenty".