3504109440 has 512 divisors, whose sum is σ = 12831436800. Its totient is φ = 807174144.

The previous prime is 3504109381. The next prime is 3504109471. The reversal of 3504109440 is 449014053.

It is a super-2 number, since 2×3504109440² = 24557565934994227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3504109398 and 3504109407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34020429 + ... + 34020531.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^3504109440 is an apocalyptic number.

3504109440 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 3504109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

3504109440 is an abundant number, since it is smaller than the sum of its proper divisors (9327327360).

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

3504109440 is a wasteful number, since it uses less digits than its factorization.

3504109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3504109440 is about 59195.5187493107. The cubic root of 3504109440 is about 1518.8884763912. Note that the first 3 decimals are identical.

The spelling of 3504109440 in words is "three billion, five hundred four million, one hundred nine thousand, four hundred forty".