3234458304 has 672 divisors, whose sum is σ = 12479341056. Its totient is φ = 806215680.

The previous prime is 3234458287. The next prime is 3234458317. The reversal of 3234458304 is 4038544323.

3234458304 is a `hidden beast` number, since 3 + 2 + 344 + 5 + 8 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44307612 + ... + 44307684.

It is an arithmetic number, because the mean of its divisors is an integer number (18570448).

Almost surely, 2^3234458304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234458304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239670528).

3234458304 is an abundant number, since it is smaller than the sum of its proper divisors (9244882752).

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

3234458304 is a wasteful number, since it uses less digits than its factorization.

3234458304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3234458304 is about 56872.2982127503. The cubic root of 3234458304 is about 1478.8831213260.

The spelling of 3234458304 in words is "three billion, two hundred thirty-four million, four hundred fifty-eight thousand, three hundred four".