3429668323600 has 120 divisors (see below), whose sum is σ = 8263606095360. Its totient is φ = 1367904576000.

The previous prime is 3429668323567. The next prime is 3429668323661. The reversal of 3429668323600 is 63238669243.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289686481 + ... + 289698319.

It is an arithmetic number, because the mean of its divisors is an integer number (68863384128).

Almost surely, 2^{3429668323600} 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 3429668323600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131803047680).

3429668323600 is an abundant number, since it is smaller than the sum of its proper divisors (4833937771760).

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

3429668323600 is a wasteful number, since it uses less digits than its factorization.

3429668323600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13889 (or 13878 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 52.

The spelling of 3429668323600 in words is "three trillion, four hundred twenty-nine billion, six hundred sixty-eight million, three hundred twenty-three thousand, six hundred".