3507408960 has 224 divisors, whose sum is σ = 12446227584. Its totient is φ = 829440000.

The previous prime is 3507408869. The next prime is 3507408967. The reversal of 3507408960 is 698047053.

It is a happy number.

It is a super-2 number, since 2×3507408960² = 24603835225376563200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3507408967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428910 + ... + 437010.

It is an arithmetic number, because the mean of its divisors is an integer number (55563516).

Almost surely, 2^3507408960 is an apocalyptic number.

3507408960 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 3507408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223113792).

3507408960 is an abundant number, since it is smaller than the sum of its proper divisors (8938818624).

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

3507408960 is a wasteful number, since it uses less digits than its factorization.

3507408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173 (or 8163 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3507408960 is about 59223.3818689882. The cubic root of 3507408960 is about 1519.3650626028.

The spelling of 3507408960 in words is "three billion, five hundred seven million, four hundred eight thousand, nine hundred sixty".