3456906223680 has 896 divisors, whose sum is σ = 15035837644800. Its totient is φ = 728088403968.

The previous prime is 3456906223583. The next prime is 3456906223711. The reversal of 3456906223680 is 863226096543.

It is a happy number.

3456906223680 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 9 + 0 + 622 + 3 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 486679009 + ... + 486686111.

It is an arithmetic number, because the mean of its divisors is an integer number (16781068800).

Almost surely, 2^{3456906223680} is an apocalyptic number.

3456906223680 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 3456906223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517918822400).

3456906223680 is an abundant number, since it is smaller than the sum of its proper divisors (11578931421120).

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

3456906223680 is a wasteful number, since it uses less digits than its factorization.

3456906223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3456906223680 in words is "three trillion, four hundred fifty-six billion, nine hundred six million, two hundred twenty-three thousand, six hundred eighty".