38700049440 has 384 divisors, whose sum is σ = 134275905792. Its totient is φ = 9311109120.

The previous prime is 38700049439. The next prime is 38700049447. The reversal of 38700049440 is 4494000783.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (38700049447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111527347 + ... + 111527693.

It is an arithmetic number, because the mean of its divisors is an integer number (349676838).

Almost surely, 2^38700049440 is an apocalyptic number.

38700049440 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 38700049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67137952896).

38700049440 is an abundant number, since it is smaller than the sum of its proper divisors (95575856352).

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

38700049440 is a wasteful number, since it uses less digits than its factorization.

38700049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 38700049440 in words is "thirty-eight billion, seven hundred million, forty-nine thousand, four hundred forty".