3453446745000 has 2880 divisors, whose sum is σ = 15400460275200. Its totient is φ = 720135360000.

The previous prime is 3453446744999. The next prime is 3453446745037. The reversal of 3453446745000 is 5476443543.

3453446745000 is a `hidden beast` number, since 3 + 4 + 5 + 34 + 46 + 74 + 500 + 0 = 666.

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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 48640094965 + ... + 48640095035.

It is an arithmetic number, because the mean of its divisors is an integer number (5347382040).

Almost surely, 2^{3453446745000} is an apocalyptic number.

3453446745000 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 3453446745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700230137600).

3453446745000 is an abundant number, since it is smaller than the sum of its proper divisors (11947013530200).

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

3453446745000 is a wasteful number, since it uses less digits than its factorization.

3453446745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 3453446745000 in words is "three trillion, four hundred fifty-three billion, four hundred forty-six million, seven hundred forty-five thousand".