38221539840 has 960 divisors, whose sum is σ = 154430115840. Its totient is φ = 8645345280.

The previous prime is 38221539827. The next prime is 38221539883. The reversal of 38221539840 is 4893512283.

38221539840 is a `hidden beast` number, since 3 + 8 + 2 + 215 + 398 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×38221539840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460500439 + ... + 460500521.

It is an arithmetic number, because the mean of its divisors is an integer number (160864704).

Almost surely, 2^38221539840 is an apocalyptic number.

38221539840 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 38221539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77215057920).

38221539840 is an abundant number, since it is smaller than the sum of its proper divisors (116208576000).

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

38221539840 is a wasteful number, since it uses less digits than its factorization.

38221539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38221539840 in words is "thirty-eight billion, two hundred twenty-one million, five hundred thirty-nine thousand, eight hundred forty".