38448577440 has 576 divisors, whose sum is σ = 168518278656. Its totient is φ = 7758913536.

The previous prime is 38448577429. The next prime is 38448577457. The reversal of 38448577440 is 4477584483.

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, 3007542 + ... + 3020298.

It is an arithmetic number, because the mean of its divisors is an integer number (292566456).

Almost surely, 2^38448577440 is an apocalyptic number.

38448577440 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 38448577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84259139328).

38448577440 is an abundant number, since it is smaller than the sum of its proper divisors (130069701216).

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

38448577440 is a wasteful number, since it uses less digits than its factorization.

38448577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12821 (or 12810 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 38448577440 in words is "thirty-eight billion, four hundred forty-eight million, five hundred seventy-seven thousand, four hundred forty".