3687600672 has 288 divisors, whose sum is σ = 12703122432. Its totient is φ = 991913472.

The previous prime is 3687600661. The next prime is 3687600677. The reversal of 3687600672 is 2760067863.

3687600672 is a `hidden beast` number, since 36 + 8 + 7 + 600 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3687600672² = 27196797432269703168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3687600677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106063 + ... + 3107249.

It is an arithmetic number, because the mean of its divisors is an integer number (44108064).

Almost surely, 2^3687600672 is an apocalyptic number.

3687600672 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 3687600672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351561216).

3687600672 is an abundant number, since it is smaller than the sum of its proper divisors (9015521760).

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

3687600672 is a wasteful number, since it uses less digits than its factorization.

3687600672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3687600672 is about 60725.6179219281. The cubic root of 3687600672 is about 1544.9507107159.

The spelling of 3687600672 in words is "three billion, six hundred eighty-seven million, six hundred thousand, six hundred seventy-two".