38821537440 has 480 divisors, whose sum is σ = 159256056960. Its totient is φ = 8721893376.

The previous prime is 38821537369. The next prime is 38821537451. The reversal of 38821537440 is 4473512883.

38821537440 is a `hidden beast` number, since 38 + 82 + 1 + 537 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×38821537440² (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 79 ways as a sum of consecutive naturals, for example, 5348854 + ... + 5356106.

It is an arithmetic number, because the mean of its divisors is an integer number (331783452).

Almost surely, 2^38821537440 is an apocalyptic number.

38821537440 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 38821537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79628028480).

38821537440 is an abundant number, since it is smaller than the sum of its proper divisors (120434519520).

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

38821537440 is a wasteful number, since it uses less digits than its factorization.

38821537440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 38821537440 in words is "thirty-eight billion, eight hundred twenty-one million, five hundred thirty-seven thousand, four hundred forty".