3680018496 has 504 divisors, whose sum is σ = 13983045440. Its totient is φ = 903260160.

The previous prime is 3680018491. The next prime is 3680018497. The reversal of 3680018496 is 6948100863.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×3680018496³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3680018491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9269370 + ... + 9269766.

Almost surely, 2^3680018496 is an apocalyptic number.

3680018496 is a gapful number since it is divisible by the number (36) 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 3680018496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991522720).

3680018496 is an abundant number, since it is smaller than the sum of its proper divisors (10303026944).

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

3680018496 is a wasteful number, since it uses less digits than its factorization.

3680018496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3680018496 is about 60663.1560009863. The cubic root of 3680018496 is about 1543.8911124407.

The spelling of 3680018496 in words is "three billion, six hundred eighty million, eighteen thousand, four hundred ninety-six".