3680445600 has 720 divisors, whose sum is σ = 15364126008. Its totient is φ = 849346560.

The previous prime is 3680445563. The next prime is 3680445607. The reversal of 3680445600 is 65440863.

3680445600 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 4 + 45 + 600 = 666.

3680445600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 951845904 + 2728599696 = 30852^2 + 52236^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680445607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14320672 + ... + 14320928.

Almost surely, 2^3680445600 is an apocalyptic number.

3680445600 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 3680445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682063004).

3680445600 is an abundant number, since it is smaller than the sum of its proper divisors (11683680408).

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

3680445600 is a wasteful number, since it uses less digits than its factorization.

3680445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3680445600 is about 60666.6761904754. The cubic root of 3680445600 is about 1543.9508382783.

The spelling of 3680445600 in words is "three billion, six hundred eighty million, four hundred forty-five thousand, six hundred".