3446046720000 has 1520 divisors, whose sum is σ = 13758129739200. Its totient is φ = 849346560000.

The previous prime is 3446046719987. The next prime is 3446046720029. The reversal of 3446046720000 is 276406443.

3446046720000 is a `hidden beast` number, since 3 + 44 + 604 + 6 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84049919980 + ... + 84049920020.

Almost surely, 2^{3446046720000} is an apocalyptic number.

3446046720000 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 3446046720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879064869600).

3446046720000 is an abundant number, since it is smaller than the sum of its proper divisors (10312083019200).

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

3446046720000 is an frugal number, since it uses more digits than its factorization.

3446046720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 3446046720000 in words is "three trillion, four hundred forty-six billion, forty-six million, seven hundred twenty thousand".