38890837440 has 2016 divisors, whose sum is σ = 187822514880. Its totient is φ = 7283146752.

The previous prime is 38890837429. The next prime is 38890837459. The reversal of 38890837440 is 4473809883.

38890837440 is a `hidden beast` number, since 3 + 88 + 90 + 8 + 37 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 904438059 + ... + 904438101.

It is an arithmetic number, because the mean of its divisors is an integer number (93165930).

Almost surely, 2^38890837440 is an apocalyptic number.

38890837440 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 38890837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93911257440).

38890837440 is an abundant number, since it is smaller than the sum of its proper divisors (148931677440).

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

38890837440 is a wasteful number, since it uses less digits than its factorization.

38890837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38890837440 in words is "thirty-eight billion, eight hundred ninety million, eight hundred thirty-seven thousand, four hundred forty".