3855764016 has 180 divisors, whose sum is σ = 12346366032. Its totient is φ = 1116444672.

The previous prime is 3855764009. The next prime is 3855764021. The reversal of 3855764016 is 6104675583.

3855764016 is a `hidden beast` number, since 38 + 5 + 576 + 40 + 1 + 6 = 666.

It is a super-2 number, since 2×3855764016² = 29733832294160896512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 537445 + ... + 544571.

Almost surely, 2^3855764016 is an apocalyptic number.

3855764016 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 3855764016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173183016).

3855764016 is an abundant number, since it is smaller than the sum of its proper divisors (8490602016).

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

3855764016 is a wasteful number, since it uses less digits than its factorization.

3855764016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7188 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3855764016 is about 62094.7986227510. The cubic root of 3855764016 is about 1568.0869793309.

The spelling of 3855764016 in words is "three billion, eight hundred fifty-five million, seven hundred sixty-four thousand, sixteen".