3440406049920 has 768 divisors, whose sum is σ = 14089650831360. Its totient is φ = 756974592000.

The previous prime is 3440406049907. The next prime is 3440406049963. The reversal of 3440406049920 is 299406040443.

3440406049920 is a `hidden beast` number, since 3 + 4 + 40 + 40 + 60 + 499 + 20 = 666.

It is a super-2 number, since 2×3440406049920² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238727515 + ... + 238741925.

It is an arithmetic number, because the mean of its divisors is an integer number (18345899520).

Almost surely, 2^{3440406049920} is an apocalyptic number.

3440406049920 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 3440406049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044825415680).

3440406049920 is an abundant number, since it is smaller than the sum of its proper divisors (10649244781440).

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

3440406049920 is a wasteful number, since it uses less digits than its factorization.

3440406049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14665 (or 14650 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3440406049920 in words is "three trillion, four hundred forty billion, four hundred six million, forty-nine thousand, nine hundred twenty".