3826206720 has 480 divisors, whose sum is σ = 15697281600. Its totient is φ = 873234432.

The previous prime is 3826206701. The next prime is 3826206737. The reversal of 3826206720 is 276026283.

3826206720 is a `hidden beast` number, since 3 + 8 + 2 + 620 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 5805751 + ... + 5806409.

It is an arithmetic number, because the mean of its divisors is an integer number (32702670).

Almost surely, 2^3826206720 is an apocalyptic number.

3826206720 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 3826206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848640800).

3826206720 is an abundant number, since it is smaller than the sum of its proper divisors (11871074880).

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

3826206720 is an equidigital number, since it uses as much as digits as its factorization.

3826206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3826206720 is about 61856.3393679257. The cubic root of 3826206720 is about 1564.0698464151.

The spelling of 3826206720 in words is "three billion, eight hundred twenty-six million, two hundred six thousand, seven hundred twenty".