3680772480 has 768 divisors, whose sum is σ = 16298979840. Its totient is φ = 743178240.

The previous prime is 3680772451. The next prime is 3680772517. The reversal of 3680772480 is 842770863.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19071264 + ... + 19071456.

It is an arithmetic number, because the mean of its divisors is an integer number (21222630).

Almost surely, 2^3680772480 is an apocalyptic number.

3680772480 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 3680772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149489920).

3680772480 is an abundant number, since it is smaller than the sum of its proper divisors (12618207360).

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

3680772480 is a wasteful number, since it uses less digits than its factorization.

3680772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3680772480 is about 60669.3701961707. The cubic root of 3680772480 is about 1543.9965457608.

The spelling of 3680772480 in words is "three billion, six hundred eighty million, seven hundred seventy-two thousand, four hundred eighty".