3453314304000 has 384 divisors, whose sum is σ = 12534384320640. Its totient is φ = 837165056000.

The previous prime is 3453314303963. The next prime is 3453314304007. The reversal of 3453314304000 is 4034133543.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3453314304000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3453314304007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8243614 + ... + 8652386.

It is an arithmetic number, because the mean of its divisors is an integer number (32641625835).

Almost surely, 2^{3453314304000} is an apocalyptic number.

3453314304000 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 3453314304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267192160320).

3453314304000 is an abundant number, since it is smaller than the sum of its proper divisors (9081070016640).

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

3453314304000 is a wasteful number, since it uses less digits than its factorization.

3453314304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408824 (or 408794 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 3453314304000 its reverse (4034133543), we get a palindrome (3457348437543).

The spelling of 3453314304000 in words is "three trillion, four hundred fifty-three billion, three hundred fourteen million, three hundred four thousand".