3429873216 has 336 divisors, whose sum is σ = 12980822400. Its totient is φ = 838287360.

The previous prime is 3429873211. The next prime is 3429873283. The reversal of 3429873216 is 6123789243.

3429873216 is a `hidden beast` number, since 3 + 429 + 8 + 7 + 3 + 216 = 666.

3429873216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3429873211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 751710 + ... + 756258.

It is an arithmetic number, because the mean of its divisors is an integer number (38633400).

Almost surely, 2^3429873216 is an apocalyptic number.

3429873216 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 3429873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490411200).

3429873216 is an abundant number, since it is smaller than the sum of its proper divisors (9550949184).

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

3429873216 is a wasteful number, since it uses less digits than its factorization.

3429873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4589 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3429873216 is about 58565.1194483542. The cubic root of 3429873216 is about 1508.0857013071.

The spelling of 3429873216 in words is "three billion, four hundred twenty-nine million, eight hundred seventy-three thousand, two hundred sixteen".