3843634408020 has 288 divisors, whose sum is σ = 12852971913600. Its totient is φ = 929688883200.

The previous prime is 3843634407997. The next prime is 3843634408129. The reversal of 3843634408020 is 208044363483.

3843634408020 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 634 + 4 + 0 + 8 + 0 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107553555 + ... + 107589285.

It is an arithmetic number, because the mean of its divisors is an integer number (44628374700).

Almost surely, 2^{3843634408020} is an apocalyptic number.

3843634408020 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 3843634408020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426485956800).

3843634408020 is an abundant number, since it is smaller than the sum of its proper divisors (9009337505580).

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

3843634408020 is a wasteful number, since it uses less digits than its factorization.

3843634408020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36228 (or 36201 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3843634408020 in words is "three trillion, eight hundred forty-three billion, six hundred thirty-four million, four hundred eight thousand, twenty".