3689904867840 has 480 divisors, whose sum is σ = 14243075795520. Its totient is φ = 877350223872.

The previous prime is 3689904867797. The next prime is 3689904867893. The reversal of 3689904867840 is 487684099863.

3689904867840 is a `hidden beast` number, since 3 + 68 + 9 + 9 + 0 + 486 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 7194007 + ... + 7689833.

It is an arithmetic number, because the mean of its divisors is an integer number (29673074574).

Almost surely, 2^{3689904867840} is an apocalyptic number.

3689904867840 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 3689904867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121537897760).

3689904867840 is an abundant number, since it is smaller than the sum of its proper divisors (10553170927680).

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

3689904867840 is a wasteful number, since it uses less digits than its factorization.

3689904867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495892 (or 495873 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 3689904867840 in words is "three trillion, six hundred eighty-nine billion, nine hundred four million, eight hundred sixty-seven thousand, eight hundred forty".