3842076420 has 216 divisors, whose sum is σ = 14423363136. Its totient is φ = 810590976.

The previous prime is 3842076409. The next prime is 3842076437. The reversal of 3842076420 is 246702483.

3842076420 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 0 + 7 + 642 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 203919 + ... + 221961.

Almost surely, 2^3842076420 is an apocalyptic number.

3842076420 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 3842076420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211681568).

3842076420 is an abundant number, since it is smaller than the sum of its proper divisors (10581286716).

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

3842076420 is a wasteful number, since it uses less digits than its factorization.

3842076420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18091 (or 18073 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3842076420 is about 61984.4853168920. The cubic root of 3842076420 is about 1566.2292594090.

The spelling of 3842076420 in words is "three billion, eight hundred forty-two million, seventy-six thousand, four hundred twenty".