3680268480 has 336 divisors, whose sum is σ = 15104607840. Its totient is φ = 841107456.

The previous prime is 3680268451. The next prime is 3680268497. The reversal of 3680268480 is 848620863.

It is a happy number.

3680268480 is a `hidden beast` number, since 36 + 80 + 2 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419014 + ... + 427706.

It is an arithmetic number, because the mean of its divisors is an integer number (44954190).

Almost surely, 2^3680268480 is an apocalyptic number.

3680268480 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 3680268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552303920).

3680268480 is an abundant number, since it is smaller than the sum of its proper divisors (11424339360).

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

3680268480 is a wasteful number, since it uses less digits than its factorization.

3680268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3680268480 is about 60665.2163929216. The cubic root of 3680268480 is about 1543.9260705382.

The spelling of 3680268480 in words is "three billion, six hundred eighty million, two hundred sixty-eight thousand, four hundred eighty".