3429060000 has 240 divisors, whose sum is σ = 11429266464. Its totient is φ = 899712000.

The previous prime is 3429059993. The next prime is 3429060001. The reversal of 3429060000 is 609243.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3429060001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4019574 + ... + 4020426.

Almost surely, 2^3429060000 is an apocalyptic number.

3429060000 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 3429060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714633232).

3429060000 is an abundant number, since it is smaller than the sum of its proper divisors (8000206464).

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

3429060000 is an equidigital number, since it uses as much as digits as its factorization.

3429060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3429060000 is about 58558.1762011079. The cubic root of 3429060000 is about 1507.9665038633.

Adding to 3429060000 its reverse (609243), we get a palindrome (3429669243).

The spelling of 3429060000 in words is "three billion, four hundred twenty-nine million, sixty thousand".