38220408730380 has 288 divisors, whose sum is σ = 112614427892736. Its totient is φ = 9680098627584.

The previous prime is 38220408730279. The next prime is 38220408730381. The reversal of 38220408730380 is 8303780402283.

It is not an unprimeable number, because it can be changed into a prime (38220408730381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10338220692 + ... + 10338224388.

It is an arithmetic number, because the mean of its divisors is an integer number (391022319072).

Almost surely, 2^{38220408730380} is an apocalyptic number.

38220408730380 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 38220408730380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56307213946368).

38220408730380 is an abundant number, since it is smaller than the sum of its proper divisors (74394019162356).

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

38220408730380 is a wasteful number, since it uses less digits than its factorization.

38220408730380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 38220408730380 in words is "thirty-eight trillion, two hundred twenty billion, four hundred eight million, seven hundred thirty thousand, three hundred eighty".