3454248564000 has 1920 divisors, whose sum is σ = 15223509100800. Its totient is φ = 757842739200.

The previous prime is 3454248563957. The next prime is 3454248564031. The reversal of 3454248564000 is 4658424543.

3454248564000 is a `hidden beast` number, since 3 + 4 + 5 + 42 + 48 + 564 + 0 + 0 + 0 = 666.

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

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 319 ways as a sum of consecutive naturals, for example, 1360474731 + ... + 1360477269.

It is an arithmetic number, because the mean of its divisors is an integer number (7928910990).

Almost surely, 2^{3454248564000} is an apocalyptic number.

3454248564000 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 3454248564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611754550400).

3454248564000 is an abundant number, since it is smaller than the sum of its proper divisors (11769260536800).

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

3454248564000 is a wasteful number, since it uses less digits than its factorization.

3454248564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 3454248564000 in words is "three trillion, four hundred fifty-four billion, two hundred forty-eight million, five hundred sixty-four thousand".