38444644080 has 480 divisors, whose sum is σ = 139266354240. Its totient is φ = 9475522560.

The previous prime is 38444644039. The next prime is 38444644103. The reversal of 38444644080 is 8044644483.

38444644080 = T₆₃₆₀₅ + T₆₃₆₀₆ + ... + T₆₃₆₂₃.

38444644080 is a `hidden beast` number, since 38 + 44 + 464 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136813540 + ... + 136813820.

It is an arithmetic number, because the mean of its divisors is an integer number (290138238).

Almost surely, 2^38444644080 is an apocalyptic number.

38444644080 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 38444644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69633177120).

38444644080 is an abundant number, since it is smaller than the sum of its proper divisors (100821710160).

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

38444644080 is a wasteful number, since it uses less digits than its factorization.

38444644080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 38444644080 in words is "thirty-eight billion, four hundred forty-four million, six hundred forty-four thousand, eighty".