3466132992000 has 3328 divisors, whose sum is σ = 16192230912000. Its totient is φ = 728314675200.

The previous prime is 3466132991989. The next prime is 3466132992011. The reversal of 3466132992000 is 2992316643.

3466132992000 is a `hidden beast` number, since 3 + 4 + 6 + 613 + 2 + 9 + 9 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3466132991989) and next prime (3466132992011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80607743979 + ... + 80607744021.

It is an arithmetic number, because the mean of its divisors is an integer number (4865454000).

Almost surely, 2^{3466132992000} is an apocalyptic number.

3466132992000 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 3466132992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096115456000).

3466132992000 is an abundant number, since it is smaller than the sum of its proper divisors (12726097920000).

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

3466132992000 is an equidigital number, since it uses as much as digits as its factorization.

3466132992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 3466132992000 in words is "three trillion, four hundred sixty-six billion, one hundred thirty-two million, nine hundred ninety-two thousand".