3870887080320 has 384 divisors, whose sum is σ = 14845092199200. Its totient is φ = 952833024000.

The previous prime is 3870887080271. The next prime is 3870887080339. The reversal of 3870887080320 is 230807880783.

It is a happy number.

3870887080320 is a `hidden beast` number, since 38 + 70 + 88 + 70 + 80 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×3870887080320³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2257570 + ... + 3583070.

Almost surely, 2^{3870887080320} is an apocalyptic number.

3870887080320 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 3870887080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422546099600).

3870887080320 is an abundant number, since it is smaller than the sum of its proper divisors (10974205118880).

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

3870887080320 is a wasteful number, since it uses less digits than its factorization.

3870887080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325555 (or 1325524 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 3870887080320 in words is "three trillion, eight hundred seventy billion, eight hundred eighty-seven million, eighty thousand, three hundred twenty".