3456666633870 has 96 divisors (see below), whose sum is σ = 8995753728000. Its totient is φ = 920914644672.

The previous prime is 3456666633863. The next prime is 3456666633923. The reversal of 3456666633870 is 783366666543.

It is a junction number, because it is equal to n+sod(n) for n = 3456666633798 and 3456666633807.

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, 651829639 + ... + 651834941.

It is an arithmetic number, because the mean of its divisors is an integer number (93705768000).

Almost surely, 2^{3456666633870} is an apocalyptic number.

3456666633870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3456666633870 is an abundant number, since it is smaller than the sum of its proper divisors (5539087094130).

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

3456666633870 is a wasteful number, since it uses less digits than its factorization.

3456666633870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10734 (or 10731 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 63.

The spelling of 3456666633870 in words is "three trillion, four hundred fifty-six billion, six hundred sixty-six million, six hundred thirty-three thousand, eight hundred seventy".