3429408456 has 160 divisors (see below), whose sum is σ = 9990921600. Its totient is φ = 1102248000.

The previous prime is 3429408443. The next prime is 3429408457. The reversal of 3429408456 is 6548049243.

It is not an unprimeable number, because it can be changed into a prime (3429408457) 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, 4566081 + ... + 4566831.

It is an arithmetic number, because the mean of its divisors is an integer number (62443260).

Almost surely, 2^3429408456 is an apocalyptic number.

3429408456 is a gapful number since it is divisible by the number (36) 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 3429408456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995460800).

3429408456 is an abundant number, since it is smaller than the sum of its proper divisors (6561513144).

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

3429408456 is an frugal number, since it uses more digits than its factorization.

3429408456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3429408456 is about 58561.1514231064. The cubic root of 3429408456 is about 1508.0175812410.

The spelling of 3429408456 in words is "three billion, four hundred twenty-nine million, four hundred eight thousand, four hundred fifty-six".