8406035820 has 576 divisors, whose sum is σ = 33080785920. Its totient is φ = 1744561152.

The previous prime is 8406035801. The next prime is 8406035861. The reversal of 8406035820 is 285306048.

8406035820 is a `hidden beast` number, since 8 + 40 + 603 + 5 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×8406035820² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36707466 + ... + 36707694.

It is an arithmetic number, because the mean of its divisors is an integer number (57431920).

Almost surely, 2^8406035820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8406035820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16540392960).

8406035820 is an abundant number, since it is smaller than the sum of its proper divisors (24674750100).

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

8406035820 is a wasteful number, since it uses less digits than its factorization.

8406035820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8406035820 is about 91684.4360837760. The cubic root of 8406035820 is about 2033.2794847933.

The spelling of 8406035820 in words is "eight billion, four hundred six million, thirty-five thousand, eight hundred twenty".