3409766662848 has 672 divisors, whose sum is σ = 11738532605184. Its totient is φ = 865166303232.

The previous prime is 3409766662817. The next prime is 3409766662859. The reversal of 3409766662848 is 8482666679043.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3409766662848² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352352986 + ... + 352362662.

It is an arithmetic number, because the mean of its divisors is an integer number (17468054472).

Almost surely, 2^{3409766662848} 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 3409766662848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869266302592).

3409766662848 is an abundant number, since it is smaller than the sum of its proper divisors (8328765942336).

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

3409766662848 is a wasteful number, since it uses less digits than its factorization.

3409766662848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9829 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 69.

The spelling of 3409766662848 in words is "three trillion, four hundred nine billion, seven hundred sixty-six million, six hundred sixty-two thousand, eight hundred forty-eight".