3986902560 has 192 divisors, whose sum is σ = 13727314944. Its totient is φ = 968294400.

The previous prime is 3986902489. The next prime is 3986902561. The reversal of 3986902560 is 652096893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3986902561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245080 + ... + 260840.

It is an arithmetic number, because the mean of its divisors is an integer number (71496432).

Almost surely, 2^3986902560 is an apocalyptic number.

3986902560 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 3986902560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863657472).

3986902560 is an abundant number, since it is smaller than the sum of its proper divisors (9740412384).

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

3986902560 is a wasteful number, since it uses less digits than its factorization.

3986902560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15827 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 3986902560 is about 63141.9239491481. The cubic root of 3986902560 is about 1585.6665833274. Note that the first 3 decimals are identical.

The spelling of 3986902560 in words is "three billion, nine hundred eighty-six million, nine hundred two thousand, five hundred sixty".