38924835840 has 528 divisors, whose sum is σ = 150803898336. Its totient is φ = 9201254400.

The previous prime is 38924835827. The next prime is 38924835853. The reversal of 38924835840 is 4853842983.

38924835840 is a `hidden beast` number, since 3 + 8 + 9 + 248 + 358 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (38924835827) and next prime (38924835853).

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20781144 + ... + 20783016.

Almost surely, 2^38924835840 is an apocalyptic number.

38924835840 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 38924835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75401949168).

38924835840 is an abundant number, since it is smaller than the sum of its proper divisors (111879062496).

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

38924835840 is a wasteful number, since it uses less digits than its factorization.

38924835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 38924835840 in words is "thirty-eight billion, nine hundred twenty-four million, eight hundred thirty-five thousand, eight hundred forty".