3452829264 has 180 divisors, whose sum is σ = 10298436096. Its totient is φ = 1079713152.

The previous prime is 3452829241. The next prime is 3452829277. The reversal of 3452829264 is 4629282543.

3452829264 is a `hidden beast` number, since 34 + 528 + 2 + 92 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6601707 + ... + 6602229.

Almost surely, 2^3452829264 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 3452829264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149218048).

3452829264 is an abundant number, since it is smaller than the sum of its proper divisors (6845606832).

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

3452829264 is a wasteful number, since it uses less digits than its factorization.

3452829264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 674 counting only the distinct ones).

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

The square root of 3452829264 is about 58760.7799812086. The cubic root of 3452829264 is about 1511.4427483734.

The spelling of 3452829264 in words is "three billion, four hundred fifty-two million, eight hundred twenty-nine thousand, two hundred sixty-four".