3462254964000 has 1152 divisors, whose sum is σ = 14590199070720. Its totient is φ = 760866048000.

The previous prime is 3462254963989. The next prime is 3462254964001. The reversal of 3462254964000 is 4694522643.

3462254964000 is a `hidden beast` number, since 3 + 4 + 62 + 2 + 549 + 6 + 40 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3462254964001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1273354641 + ... + 1273357359.

It is an arithmetic number, because the mean of its divisors is an integer number (12665103360).

Almost surely, 2^{3462254964000} is an apocalyptic number.

3462254964000 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 3462254964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7295099535360).

3462254964000 is an abundant number, since it is smaller than the sum of its proper divisors (11127944106720).

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

3462254964000 is a wasteful number, since it uses less digits than its factorization.

3462254964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3462254964000 in words is "three trillion, four hundred sixty-two billion, two hundred fifty-four million, nine hundred sixty-four thousand".