3685063680 has 704 divisors, whose sum is σ = 14620492800. Its totient is φ = 875888640.

The previous prime is 3685063673. The next prime is 3685063757. The reversal of 3685063680 is 863605863.

3685063680 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 0 + 636 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 60410850 + ... + 60410910.

Almost surely, 2^3685063680 is an apocalyptic number.

3685063680 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 3685063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310246400).

3685063680 is an abundant number, since it is smaller than the sum of its proper divisors (10935429120).

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

3685063680 is a wasteful number, since it uses less digits than its factorization.

3685063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3685063680 is about 60704.7253514914. The cubic root of 3685063680 is about 1544.5963315285.

The spelling of 3685063680 in words is "three billion, six hundred eighty-five million, sixty-three thousand, six hundred eighty".