3835868416020 has 72 divisors (see below), whose sum is σ = 11668807168200. Its totient is φ = 1019967287040.

The previous prime is 3835868415997. The next prime is 3835868416073. The reversal of 3835868416020 is 206148685383.

3835868416020 is a `hidden beast` number, since 38 + 3 + 586 + 8 + 4 + 1 + 6 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 511802883216 + 3324065532804 = 715404^2 + 1823202^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 30467811 + ... + 30593450.

It is an arithmetic number, because the mean of its divisors is an integer number (162066766225).

Almost surely, 2^{3835868416020} is an apocalyptic number.

3835868416020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3835868416020 is an abundant number, since it is smaller than the sum of its proper divisors (7832938752180).

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

3835868416020 is a wasteful number, since it uses less digits than its factorization.

3835868416020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61061625 (or 61061620 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3835868416020 in words is "three trillion, eight hundred thirty-five billion, eight hundred sixty-eight million, four hundred sixteen thousand, twenty".