3709482480 has 720 divisors, whose sum is σ = 15127781760. Its totient is φ = 841674240.

The previous prime is 3709482391. The next prime is 3709482487. The reversal of 3709482480 is 842849073.

3709482480 is a `hidden beast` number, since 3 + 7 + 0 + 94 + 82 + 480 = 666.

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

It is a super-3 number, since 3×3709482480³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3709482487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44692519 + ... + 44692601.

It is an arithmetic number, because the mean of its divisors is an integer number (21010808).

Almost surely, 2^3709482480 is an apocalyptic number.

3709482480 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 3709482480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563890880).

3709482480 is an abundant number, since it is smaller than the sum of its proper divisors (11418299280).

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

3709482480 is a wasteful number, since it uses less digits than its factorization.

3709482480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3709482480 is about 60905.5209320140. The cubic root of 3709482480 is about 1548.0005408327. Note that the first 3 decimals are identical.

The spelling of 3709482480 in words is "three billion, seven hundred nine million, four hundred eighty-two thousand, four hundred eighty".