3452989045968 has 1280 divisors, whose sum is σ = 13607129088000. Its totient is φ = 810683596800.

The previous prime is 3452989045841. The next prime is 3452989045981. The reversal of 3452989045968 is 8695409892543.

3452989045968 is a `hidden beast` number, since 3 + 4 + 5 + 29 + 8 + 9 + 0 + 4 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3452989045896 and 3452989045905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3919396888 + ... + 3919397768.

It is an arithmetic number, because the mean of its divisors is an integer number (10630569600).

Almost surely, 2^{3452989045968} 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 3452989045968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803564544000).

3452989045968 is an abundant number, since it is smaller than the sum of its proper divisors (10154140042032).

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

3452989045968 is a wasteful number, since it uses less digits than its factorization.

3452989045968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 3452989045968 in words is "three trillion, four hundred fifty-two billion, nine hundred eighty-nine million, forty-five thousand, nine hundred sixty-eight".