3687552960 has 672 divisors, whose sum is σ = 15421612032. Its totient is φ = 728432640.

The previous prime is 3687552937. The next prime is 3687552961. The reversal of 3687552960 is 692557863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687552961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19306465 + ... + 19306655.

Almost surely, 2^3687552960 is an apocalyptic number.

3687552960 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 3687552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710806016).

3687552960 is an abundant number, since it is smaller than the sum of its proper divisors (11734059072).

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

3687552960 is a wasteful number, since it uses less digits than its factorization.

3687552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 3687552960 is about 60725.2250716290. The cubic root of 3687552960 is about 1544.9440475752.

The spelling of 3687552960 in words is "three billion, six hundred eighty-seven million, five hundred fifty-two thousand, nine hundred sixty".