3420977626000 has 640 divisors, whose sum is σ = 10272611082240. Its totient is φ = 1085488128000.

The previous prime is 3420977625997. The next prime is 3420977626021. The reversal of 3420977626000 is 6267790243.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 333976879 + ... + 333987121.

It is an arithmetic number, because the mean of its divisors is an integer number (16050954816).

Almost surely, 2^{3420977626000} 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 3420977626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136305541120).

3420977626000 is an abundant number, since it is smaller than the sum of its proper divisors (6851633456240).

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

3420977626000 is a wasteful number, since it uses less digits than its factorization.

3420977626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10360 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 3420977626000 in words is "three trillion, four hundred twenty billion, nine hundred seventy-seven million, six hundred twenty-six thousand".