38805224640 has 1344 divisors, whose sum is σ = 168120852480. Its totient is φ = 7493713920.

The previous prime is 38805224629. The next prime is 38805224651. The reversal of 38805224640 is 4642250883.

It is an interprime number because it is at equal distance from previous prime (38805224629) and next prime (38805224651).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38805224592 and 38805224601.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 436013716 + ... + 436013804.

It is an arithmetic number, because the mean of its divisors is an integer number (125089920).

Almost surely, 2^38805224640 is an apocalyptic number.

38805224640 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 38805224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84060426240).

38805224640 is an abundant number, since it is smaller than the sum of its proper divisors (129315627840).

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

38805224640 is a wasteful number, since it uses less digits than its factorization.

38805224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 38805224640 in words is "thirty-eight billion, eight hundred five million, two hundred twenty-four thousand, six hundred forty".