3452265600 has 576 divisors, whose sum is σ = 13625690400. Its totient is φ = 765542400.

The previous prime is 3452265587. The next prime is 3452265613. The reversal of 3452265600 is 65622543.

It is an interprime number because it is at equal distance from previous prime (3452265587) and next prime (3452265613).

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 71 ways as a sum of consecutive naturals, for example, 19286311 + ... + 19286489.

Almost surely, 2^3452265600 is an apocalyptic number.

3452265600 is a gapful number since it is divisible by the number (30) 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 3452265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812845200).

3452265600 is an abundant number, since it is smaller than the sum of its proper divisors (10173424800).

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

3452265600 is a wasteful number, since it uses less digits than its factorization.

3452265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3452265600 is about 58755.9835250845. The cubic root of 3452265600 is about 1511.3604977354.

The spelling of 3452265600 in words is "three billion, four hundred fifty-two million, two hundred sixty-five thousand, six hundred".