3420904321640 has 128 divisors (see below), whose sum is σ = 8326045728000. Its totient is φ = 1257488160768.

The previous prime is 3420904321631. The next prime is 3420904321669. The reversal of 3420904321640 is 461234090243.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3420904321594 and 3420904321603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106590716 + ... + 106622804.

It is an arithmetic number, because the mean of its divisors is an integer number (65047232250).

Almost surely, 2^{3420904321640} 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 3420904321640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163022864000).

3420904321640 is an abundant number, since it is smaller than the sum of its proper divisors (4905141406360).

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

3420904321640 is a wasteful number, since it uses less digits than its factorization.

3420904321640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33019 (or 33015 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 3420904321640 in words is "three trillion, four hundred twenty billion, nine hundred four million, three hundred twenty-one thousand, six hundred forty".