38419624820 has 54 divisors (see below), whose sum is σ = 82774474146. Its totient is φ = 14978999040.

The previous prime is 38419624811. The next prime is 38419624829. The reversal of 38419624820 is 2842691483.

It is an interprime number because it is at equal distance from previous prime (38419624811) and next prime (38419624829).

It can be written as a sum of positive squares in 9 ways, for example, as 29242368016 + 9177256804 = 171004^2 + 95798^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38419624829) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35939246 + ... + 35940314.

Almost surely, 2^38419624820 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 38419624820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41387237073).

38419624820 is an abundant number, since it is smaller than the sum of its proper divisors (44354849326).

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

38419624820 is an equidigital number, since it uses as much as digits as its factorization.

38419624820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 38419624820 in words is "thirty-eight billion, four hundred nineteen million, six hundred twenty-four thousand, eight hundred twenty".