3429510678 has 160 divisors (see below), whose sum is σ = 8886240000. Its totient is φ = 977676480.

The previous prime is 3429510677. The next prime is 3429510683. The reversal of 3429510678 is 8760159243.

3429510678 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

3429510678 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429510673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6737488 + ... + 6737996.

It is an arithmetic number, because the mean of its divisors is an integer number (55539000).

It is a 1-persistent number, because it is pandigital, but 2⋅3429510678 = 6859021356 is not.

Almost surely, 2^3429510678 is an apocalyptic number.

3429510678 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429510678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443120000).

3429510678 is an abundant number, since it is smaller than the sum of its proper divisors (5456729322).

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

3429510678 is a wasteful number, since it uses less digits than its factorization.

3429510678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3429510678 is about 58562.0241965730. The cubic root of 3429510678 is about 1508.0325644899.

The spelling of 3429510678 in words is "three billion, four hundred twenty-nine million, five hundred ten thousand, six hundred seventy-eight".