3909469224960 has 720 divisors, whose sum is σ = 15136460329536. Its totient is φ = 962267185152.

The previous prime is 3909469224949. The next prime is 3909469224961. The reversal of 3909469224960 is 694229649093.

3909469224960 is a `hidden beast` number, since 3 + 90 + 9 + 469 + 2 + 24 + 9 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3909469224961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258777727 + ... + 258792833.

Almost surely, 2^{3909469224960} is an apocalyptic number.

3909469224960 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 3909469224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568230164768).

3909469224960 is an abundant number, since it is smaller than the sum of its proper divisors (11226991104576).

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

3909469224960 is an equidigital number, since it uses as much as digits as its factorization.

3909469224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15168 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 3909469224960 in words is "three trillion, nine hundred nine billion, four hundred sixty-nine million, two hundred twenty-four thousand, nine hundred sixty".