3689913288960 has 432 divisors, whose sum is σ = 13538684839680. Its totient is φ = 924658237440.

The previous prime is 3689913288947. The next prime is 3689913289037. The reversal of 3689913288960 is 698823199863.

3689913288960 is a `hidden beast` number, since 3 + 6 + 89 + 91 + 328 + 89 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129044265 + ... + 129072855.

It is an arithmetic number, because the mean of its divisors is an integer number (31339548240).

Almost surely, 2^{3689913288960} is an apocalyptic number.

3689913288960 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 3689913288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769342419840).

3689913288960 is an abundant number, since it is smaller than the sum of its proper divisors (9848771550720).

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

3689913288960 is a wasteful number, since it uses less digits than its factorization.

3689913288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29294 (or 29277 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 3689913288960 in words is "three trillion, six hundred eighty-nine billion, nine hundred thirteen million, two hundred eighty-eight thousand, nine hundred sixty".