3429109101600 has 2592 divisors, whose sum is σ = 16460368344000. Its totient is φ = 684745850880.

The previous prime is 3429109101571. The next prime is 3429109101601. The reversal of 3429109101600 is 61019019243.

It is a happy number.

3429109101600 is a `hidden beast` number, since 3 + 4 + 29 + 10 + 9 + 10 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3429109101601) 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 431 ways as a sum of consecutive naturals, for example, 3398521896 + ... + 3398522904.

It is an arithmetic number, because the mean of its divisors is an integer number (6350450750).

Almost surely, 2^{3429109101600} is an apocalyptic number.

3429109101600 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 3429109101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230184172000).

3429109101600 is an abundant number, since it is smaller than the sum of its proper divisors (13031259242400).

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

3429109101600 is a wasteful number, since it uses less digits than its factorization.

3429109101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 3429109101600 in words is "three trillion, four hundred twenty-nine billion, one hundred nine million, one hundred one thousand, six hundred".