3476499966000 has 640 divisors, whose sum is σ = 13234067608320. Its totient is φ = 869363712000.

The previous prime is 3476499965989. The next prime is 3476499966007. The reversal of 3476499966000 is 6699946743.

3476499966000 is a `hidden beast` number, since 347 + 64 + 99 + 96 + 60 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3476499966007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257951262 + ... + 257964738.

It is an arithmetic number, because the mean of its divisors is an integer number (20678230638).

Almost surely, 2^{3476499966000} is an apocalyptic number.

3476499966000 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 3476499966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617033804160).

3476499966000 is an abundant number, since it is smaller than the sum of its proper divisors (9757567642320).

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

3476499966000 is a wasteful number, since it uses less digits than its factorization.

3476499966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13807 (or 13785 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 3476499966000 in words is "three trillion, four hundred seventy-six billion, four hundred ninety-nine million, nine hundred sixty-six thousand".