3870688947840 has 1024 divisors, whose sum is σ = 16134832627200. Its totient is φ = 864581713920.

The previous prime is 3870688947823. The next prime is 3870688947847. The reversal of 3870688947840 is 487498860783.

3870688947840 is a `hidden beast` number, since 3 + 8 + 70 + 6 + 8 + 89 + 478 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3870688947847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1811271252 + ... + 1811273388.

Almost surely, 2^{3870688947840} is an apocalyptic number.

3870688947840 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 3870688947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067416313600).

3870688947840 is an abundant number, since it is smaller than the sum of its proper divisors (12264143679360).

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

3870688947840 is a wasteful number, since it uses less digits than its factorization.

3870688947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 3870688947840 in words is "three trillion, eight hundred seventy billion, six hundred eighty-eight million, nine hundred forty-seven thousand, eight hundred forty".