3687485376960 has 2688 divisors, whose sum is σ = 17036246384640. Its totient is φ = 734469120000.

The previous prime is 3687485376937. The next prime is 3687485376961. The reversal of 3687485376960 is 696735847863.

3687485376960 is a `hidden beast` number, since 3 + 6 + 87 + 4 + 8 + 537 + 6 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×3687485376960³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687485376961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24420432885 + ... + 24420433035.

It is an arithmetic number, because the mean of its divisors is an integer number (6337889280).

Almost surely, 2^{3687485376960} is an apocalyptic number.

3687485376960 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 3687485376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8518123192320).

3687485376960 is an abundant number, since it is smaller than the sum of its proper divisors (13348761007680).

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

3687485376960 is a wasteful number, since it uses less digits than its factorization.

3687485376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 3687485376960 in words is "three trillion, six hundred eighty-seven billion, four hundred eighty-five million, three hundred seventy-six thousand, nine hundred sixty".