3406326981120 has 3200 divisors, whose sum is σ = 15701752737792. Its totient is φ = 687970713600.

The previous prime is 3406326981007. The next prime is 3406326981157. The reversal of 3406326981120 is 211896236043.

3406326981120 is a `hidden beast` number, since 3 + 4 + 0 + 632 + 6 + 9 + 8 + 1 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 46662013404 + ... + 46662013476.

Almost surely, 2^{3406326981120} is an apocalyptic number.

3406326981120 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 3406326981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7850876368896).

3406326981120 is an abundant number, since it is smaller than the sum of its proper divisors (12295425756672).

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

3406326981120 is a wasteful number, since it uses less digits than its factorization.

3406326981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3406326981120 in words is "three trillion, four hundred six billion, three hundred twenty-six million, nine hundred eighty-one thousand, one hundred twenty".