3429048000 has 224 divisors, whose sum is σ = 12940881408. Its totient is φ = 783744000.

The previous prime is 3429047969. The next prime is 3429048017. The reversal of 3429048000 is 8409243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157795 + ... + 178205.

It is an arithmetic number, because the mean of its divisors is an integer number (57771792).

Almost surely, 2^3429048000 is an apocalyptic number.

3429048000 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 3429048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470440704).

3429048000 is an abundant number, since it is smaller than the sum of its proper divisors (9511833408).

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

3429048000 is a wasteful number, since it uses less digits than its factorization.

3429048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20448 (or 20428 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3429048000 is about 58558.0737388108. The cubic root of 3429048000 is about 1507.9647448177.

The spelling of 3429048000 in words is "three billion, four hundred twenty-nine million, forty-eight thousand".