3406236986880 has 2240 divisors, whose sum is σ = 15580810764288. Its totient is φ = 694420439040.

The previous prime is 3406236986869. The next prime is 3406236986881. The reversal of 3406236986880 is 886896326043.

3406236986880 is a `hidden beast` number, since 3 + 406 + 2 + 3 + 6 + 98 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406236986881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5264662717 + ... + 5264663363.

Almost surely, 2^{3406236986880} is an apocalyptic number.

3406236986880 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 3406236986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790405382144).

3406236986880 is an abundant number, since it is smaller than the sum of its proper divisors (12174573777408).

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

3406236986880 is an equidigital number, since it uses as much as digits as its factorization.

3406236986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3406236986880 in words is "three trillion, four hundred six billion, two hundred thirty-six million, nine hundred eighty-six thousand, eight hundred eighty".