3429120000 has 480 divisors, whose sum is σ = 12281068800. Its totient is φ = 847872000.

The previous prime is 3429119999. The next prime is 3429120043. The reversal of 3429120000 is 219243.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72959977 + ... + 72960023.

It is an arithmetic number, because the mean of its divisors is an integer number (25585560).

Almost surely, 2^3429120000 is an apocalyptic number.

3429120000 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 3429120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140534400).

3429120000 is an abundant number, since it is smaller than the sum of its proper divisors (8851948800).

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

3429120000 is an equidigital number, since it uses as much as digits as its factorization.

3429120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3429120000 is about 58558.6885099043. The cubic root of 3429120000 is about 1507.9752990300.

Adding to 3429120000 its reverse (219243), we get a palindrome (3429339243).

The spelling of 3429120000 in words is "three billion, four hundred twenty-nine million, one hundred twenty thousand".