3254581206624 has 144 divisors (see below), whose sum is σ = 9401503446720. Its totient is φ = 985085587200.

The previous prime is 3254581206607. The next prime is 3254581206631. The reversal of 3254581206624 is 4266021854523.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9815059 + ... + 10141229.

It is an arithmetic number, because the mean of its divisors is an integer number (65288218380).

Almost surely, 2^{3254581206624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3254581206624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700751723360).

3254581206624 is an abundant number, since it is smaller than the sum of its proper divisors (6146922240096).

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

3254581206624 is a wasteful number, since it uses less digits than its factorization.

3254581206624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327065 (or 327046 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 3254581206624 in words is "three trillion, two hundred fifty-four billion, five hundred eighty-one million, two hundred six thousand, six hundred twenty-four".