3855335616 has 560 divisors, whose sum is σ = 13662123552. Its totient is φ = 1061683200.

The previous prime is 3855335591. The next prime is 3855335623. The reversal of 3855335616 is 6165335583.

It is a happy number.

3855335616 is a `hidden beast` number, since 3 + 8 + 55 + 33 + 561 + 6 = 666.

It is a super-2 number, since 2×3855335616² = 29727225423996198912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39745680 + ... + 39745776.

Almost surely, 2^3855335616 is an apocalyptic number.

3855335616 is a gapful number since it is divisible by the number (36) 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 3855335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831061776).

3855335616 is an abundant number, since it is smaller than the sum of its proper divisors (9806787936).

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

3855335616 is a wasteful number, since it uses less digits than its factorization.

3855335616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 3855335616 is about 62091.3489626373. The cubic root of 3855335616 is about 1568.0289023549.

The spelling of 3855335616 in words is "three billion, eight hundred fifty-five million, three hundred thirty-five thousand, six hundred sixteen".