3826420560 has 200 divisors, whose sum is σ = 13473441960. Its totient is φ = 1006276608.

The previous prime is 3826420547. The next prime is 3826420579. The reversal of 3826420560 is 650246283.

3826420560 is a `hidden beast` number, since 3 + 8 + 2 + 642 + 0 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 3825175104 = 1116^2 + 61848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 468996 + ... + 477084.

Almost surely, 2^3826420560 is an apocalyptic number.

3826420560 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 3826420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736720980).

3826420560 is an abundant number, since it is smaller than the sum of its proper divisors (9647021400).

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

3826420560 is a wasteful number, since it uses less digits than its factorization.

3826420560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8187 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3826420560 is about 61858.0678650732. The cubic root of 3826420560 is about 1564.0989835815.

The spelling of 3826420560 in words is "three billion, eight hundred twenty-six million, four hundred twenty thousand, five hundred sixty".