3712450560 has 512 divisors, whose sum is σ = 14797278720. Its totient is φ = 773849088.

The previous prime is 3712450559. The next prime is 3712450579. The reversal of 3712450560 is 650542173.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

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, 44728279 + ... + 44728361.

It is an arithmetic number, because the mean of its divisors is an integer number (28900935).

Almost surely, 2^3712450560 is an apocalyptic number.

3712450560 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 3712450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398639360).

3712450560 is an abundant number, since it is smaller than the sum of its proper divisors (11084828160).

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

3712450560 is an equidigital number, since it uses as much as digits as its factorization.

3712450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 3712450560 is about 60929.8823238647. The cubic root of 3712450560 is about 1548.4132996283.

The spelling of 3712450560 in words is "three billion, seven hundred twelve million, four hundred fifty thousand, five hundred sixty".