3828885122040 has 256 divisors, whose sum is σ = 12596017674240. Its totient is φ = 923403264000.

The previous prime is 3828885122003. The next prime is 3828885122087. The reversal of 3828885122040 is 402215888283.

It is a happy number.

It is a super-2 number, since 2×3828885122040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205061905 + ... + 205080575.

It is an arithmetic number, because the mean of its divisors is an integer number (49203194040).

Almost surely, 2^{3828885122040} is an apocalyptic number.

3828885122040 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 3828885122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298008837120).

3828885122040 is an abundant number, since it is smaller than the sum of its proper divisors (8767132552200).

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

3828885122040 is a wasteful number, since it uses less digits than its factorization.

3828885122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19494 (or 19490 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 3828885122040 in words is "three trillion, eight hundred twenty-eight billion, eight hundred eighty-five million, one hundred twenty-two thousand, forty".