3440887603920 has 720 divisors, whose sum is σ = 13136337077760. Its totient is φ = 805720780800.

The previous prime is 3440887603841. The next prime is 3440887603997. The reversal of 3440887603920 is 293067880443.

3440887603920 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 8 + 8 + 7 + 603 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222544990 + ... + 222560450.

It is an arithmetic number, because the mean of its divisors is an integer number (18244912608).

Almost surely, 2^{3440887603920} is an apocalyptic number.

3440887603920 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 3440887603920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568168538880).

3440887603920 is an abundant number, since it is smaller than the sum of its proper divisors (9695449473840).

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

3440887603920 is a wasteful number, since it uses less digits than its factorization.

3440887603920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15596 (or 15574 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3440887603920 in words is "three trillion, four hundred forty billion, eight hundred eighty-seven million, six hundred three thousand, nine hundred twenty".