3680861184 has 1056 divisors, whose sum is σ = 15681657600. Its totient is φ = 836075520.

The previous prime is 3680861179. The next prime is 3680861201. The reversal of 3680861184 is 4811680863.

3680861184 = 119³ + 120³ + ... + 349³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

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, 193729527 + ... + 193729545.

Almost surely, 2^3680861184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680861184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840828800).

3680861184 is an abundant number, since it is smaller than the sum of its proper divisors (12000796416).

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

3680861184 is a wasteful number, since it uses less digits than its factorization.

3680861184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3680861184 is about 60670.1012361114. The cubic root of 3680861184 is about 1544.0089487342.

The spelling of 3680861184 in words is "three billion, six hundred eighty million, eight hundred sixty-one thousand, one hundred eighty-four".