3718509480 has 192 divisors, whose sum is σ = 13834828800. Its totient is φ = 848517120.

The previous prime is 3718509479. The next prime is 3718509493. The reversal of 3718509480 is 849058173.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496576 + ... + 2498064.

It is an arithmetic number, because the mean of its divisors is an integer number (72056400).

Almost surely, 2^3718509480 is an apocalyptic number.

3718509480 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 3718509480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917414400).

3718509480 is an abundant number, since it is smaller than the sum of its proper divisors (10116319320).

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

3718509480 is a wasteful number, since it uses less digits than its factorization.

3718509480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3718509480 is about 60979.5824846317. The cubic root of 3718509480 is about 1549.2552065179.

The spelling of 3718509480 in words is "three billion, seven hundred eighteen million, five hundred nine thousand, four hundred eighty".