3422657710080 has 576 divisors, whose sum is σ = 13812862452480. Its totient is φ = 767553306624.

The previous prime is 3422657710079. The next prime is 3422657710093. The reversal of 3422657710080 is 800177562243.

3422657710080 is a `hidden beast` number, since 3 + 42 + 26 + 577 + 10 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34141309 + ... + 34241411.

It is an arithmetic number, because the mean of its divisors is an integer number (23980663980).

Almost surely, 2^{3422657710080} is an apocalyptic number.

3422657710080 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 3422657710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906431226240).

3422657710080 is an abundant number, since it is smaller than the sum of its proper divisors (10390204742400).

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

3422657710080 is a wasteful number, since it uses less digits than its factorization.

3422657710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100196 (or 100173 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 3422657710080 in words is "three trillion, four hundred twenty-two billion, six hundred fifty-seven million, seven hundred ten thousand, eighty".