3420506880000 has 1440 divisors, whose sum is σ = 14640262116480. Its totient is φ = 781332480000.

The previous prime is 3420506879989. The next prime is 3420506880001. The reversal of 3420506880000 is 886050243.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3420506880000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420506880001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2177279215 + ... + 2177280785.

It is an arithmetic number, because the mean of its divisors is an integer number (10166848692).

Almost surely, 2^{3420506880000} is an apocalyptic number.

3420506880000 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 3420506880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320131058240).

3420506880000 is an abundant number, since it is smaller than the sum of its proper divisors (11219755236480).

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

3420506880000 is an frugal number, since it uses more digits than its factorization.

3420506880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 3420506880000 in words is "three trillion, four hundred twenty billion, five hundred six million, eight hundred eighty thousand".