38520847680 has 224 divisors, whose sum is σ = 140034385920. Its totient is φ = 8788469760.

The previous prime is 38520847679. The next prime is 38520847699. The reversal of 38520847680 is 8674802583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×38520847680² (a number of 22 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 31 ways as a sum of consecutive naturals, for example, 3832101 + ... + 3842139.

Almost surely, 2^38520847680 is an apocalyptic number.

38520847680 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 38520847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70017192960).

38520847680 is an abundant number, since it is smaller than the sum of its proper divisors (101513538240).

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

38520847680 is a wasteful number, since it uses less digits than its factorization.

38520847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10627 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 38520847680 in words is "thirty-eight billion, five hundred twenty million, eight hundred forty-seven thousand, six hundred eighty".