3670615872 has 448 divisors, whose sum is σ = 13752576000. Its totient is φ = 951713280.

The previous prime is 3670615813. The next prime is 3670615873. The reversal of 3670615872 is 2785160763.

3670615872 is a `hidden beast` number, since 3 + 6 + 7 + 0 + 61 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3670615873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6519463 + ... + 6520025.

Almost surely, 2^3670615872 is an apocalyptic number.

3670615872 is a gapful number since it is divisible by the number (32) 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 3670615872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876288000).

3670615872 is an abundant number, since it is smaller than the sum of its proper divisors (10081960128).

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

3670615872 is a wasteful number, since it uses less digits than its factorization.

3670615872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3670615872 is about 60585.6077959114. The cubic root of 3670615872 is about 1542.5750856523.

The spelling of 3670615872 in words is "three billion, six hundred seventy million, six hundred fifteen thousand, eight hundred seventy-two".