3428173210560 has 336 divisors, whose sum is σ = 13214149384704. Its totient is φ = 737488945152.

The previous prime is 3428173210547. The next prime is 3428173210573. The reversal of 3428173210560 is 650123718243.

3428173210560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3428173210547) and next prime (3428173210573).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1059477 + ... + 2824683.

Almost surely, 2^{3428173210560} is an apocalyptic number.

3428173210560 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 3428173210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607074692352).

3428173210560 is an abundant number, since it is smaller than the sum of its proper divisors (9785976174144).

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

3428173210560 is a wasteful number, since it uses less digits than its factorization.

3428173210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765268 (or 1765241 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 3428173210560 in words is "three trillion, four hundred twenty-eight billion, one hundred seventy-three million, two hundred ten thousand, five hundred sixty".