3855075840 has 960 divisors, whose sum is σ = 17373388032. Its totient is φ = 766771200.

The previous prime is 3855075823. The next prime is 3855075859. The reversal of 3855075840 is 485705583.

3855075840 is a `hidden beast` number, since 3 + 8 + 550 + 7 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72737254 + ... + 72737306.

Almost surely, 2^3855075840 is an apocalyptic number.

3855075840 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 3855075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686694016).

3855075840 is an abundant number, since it is smaller than the sum of its proper divisors (13518312192).

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

3855075840 is a wasteful number, since it uses less digits than its factorization.

3855075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 3855075840 is about 62089.2570417782. The cubic root of 3855075840 is about 1567.9936831621.

The spelling of 3855075840 in words is "three billion, eight hundred fifty-five million, seventy-five thousand, eight hundred forty".