38804797440 has 768 divisors, whose sum is σ = 148599360000. Its totient is φ = 9576382464.

The previous prime is 38804797411. The next prime is 38804797457. The reversal of 38804797440 is 4479740883.

38804797440 is a `hidden beast` number, since 38 + 80 + 4 + 7 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 436008916 + ... + 436009004.

It is an arithmetic number, because the mean of its divisors is an integer number (193488750).

Almost surely, 2^38804797440 is an apocalyptic number.

38804797440 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 38804797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680000).

38804797440 is an abundant number, since it is smaller than the sum of its proper divisors (109794562560).

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

38804797440 is a wasteful number, since it uses less digits than its factorization.

38804797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 38804797440 in words is "thirty-eight billion, eight hundred four million, seven hundred ninety-seven thousand, four hundred forty".