3885665955840 has 1248 divisors, whose sum is σ = 14786450864640. Its totient is φ = 976791011328.

The previous prime is 3885665955803. The next prime is 3885665955851. The reversal of 3885665955840 is 485595665883.

3885665955840 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 6 + 65 + 9 + 558 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9500405556 + ... + 9500405964.

It is an arithmetic number, because the mean of its divisors is an integer number (11848117680).

Almost surely, 2^{3885665955840} is an apocalyptic number.

3885665955840 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 3885665955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393225432320).

3885665955840 is an abundant number, since it is smaller than the sum of its proper divisors (10900784908800).

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

3885665955840 is an equidigital number, since it uses as much as digits as its factorization.

3885665955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1244160000, while the sum is 72.

The spelling of 3885665955840 in words is "three trillion, eight hundred eighty-five billion, six hundred sixty-five million, nine hundred fifty-five thousand, eight hundred forty".