3823395840 has 528 divisors, whose sum is σ = 15251296320. Its totient is φ = 875888640.

The previous prime is 3823395839. The next prime is 3823395847. The reversal of 3823395840 is 485933283.

3823395840 is a `hidden beast` number, since 38 + 2 + 3 + 39 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (3823395847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9630522 + ... + 9630918.

Almost surely, 2^3823395840 is an apocalyptic number.

3823395840 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 3823395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625648160).

3823395840 is an abundant number, since it is smaller than the sum of its proper divisors (11427900480).

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

3823395840 is a wasteful number, since it uses less digits than its factorization.

3823395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3823395840 is about 61833.6141592904. The cubic root of 3823395840 is about 1563.6867437756.

The spelling of 3823395840 in words is "three billion, eight hundred twenty-three million, three hundred ninety-five thousand, eight hundred forty".