3429069000 has 192 divisors, whose sum is σ = 12445954560. Its totient is φ = 783753600.

The previous prime is 3429068977. The next prime is 3429069029. The reversal of 3429069000 is 9609243.

It is a super-4 number, since 4×3429069000⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135337 + ... + 158663.

It is an arithmetic number, because the mean of its divisors is an integer number (64822680).

Almost surely, 2^3429069000 is an apocalyptic number.

3429069000 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 3429069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222977280).

3429069000 is an abundant number, since it is smaller than the sum of its proper divisors (9016885560).

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

3429069000 is a wasteful number, since it uses less digits than its factorization.

3429069000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23365 (or 23344 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3429069000 is about 58558.2530477131. The cubic root of 3429069000 is about 1507.9678231448.

The spelling of 3429069000 in words is "three billion, four hundred twenty-nine million, sixty-nine thousand".