3458639868000 has 1152 divisors, whose sum is σ = 12679754121216. Its totient is φ = 822841344000.

The previous prime is 3458639867971. The next prime is 3458639868023. The reversal of 3458639868000 is 8689368543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 5697923697 + ... + 5697924303.

It is an arithmetic number, because the mean of its divisors is an integer number (11006731008).

Almost surely, 2^{3458639868000} is an apocalyptic number.

3458639868000 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 3458639868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339877060608).

3458639868000 is an abundant number, since it is smaller than the sum of its proper divisors (9221114253216).

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

3458639868000 is a wasteful number, since it uses less digits than its factorization.

3458639868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 3458639868000 in words is "three trillion, four hundred fifty-eight billion, six hundred thirty-nine million, eight hundred sixty-eight thousand".