3452924448000 has 216 divisors, whose sum is σ = 12424630303176. Its totient is φ = 920779776000.

The previous prime is 3452924447989. The next prime is 3452924448047. The reversal of 3452924448000 is 8444292543.

3452924448000 is a `hidden beast` number, since 3 + 4 + 529 + 2 + 4 + 44 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9910600704 + 3443013847296 = 99552^2 + 1855536^2 .

It is a super-2 number, since 2×3452924448000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 5706661 + ... + 6282660.

Almost surely, 2^{3452924448000} is an apocalyptic number.

3452924448000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3452924448000 is an abundant number, since it is smaller than the sum of its proper divisors (8971705855176).

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

3452924448000 is a wasteful number, since it uses less digits than its factorization.

3452924448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11989358 (or 11989331 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3452924448000 in words is "three trillion, four hundred fifty-two billion, nine hundred twenty-four million, four hundred forty-eight thousand".