3405716556000 has 384 divisors, whose sum is σ = 12887385638400. Its totient is φ = 777061376000.

The previous prime is 3405716555993. The next prime is 3405716556019. The reversal of 3405716556000 is 6556175043.

It is a super-2 number, since 2×3405716556000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1485151 + ... + 3002849.

It is an arithmetic number, because the mean of its divisors is an integer number (33560900100).

Almost surely, 2^{3405716556000} is an apocalyptic number.

3405716556000 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 3405716556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443692819200).

3405716556000 is an abundant number, since it is smaller than the sum of its proper divisors (9481669082400).

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

3405716556000 is a wasteful number, since it uses less digits than its factorization.

3405716556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517755 (or 1517737 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 3405716556000 in words is "three trillion, four hundred five billion, seven hundred sixteen million, five hundred fifty-six thousand".