38948532480 has 1440 divisors, whose sum is σ = 170522972928. Its totient is φ = 8360755200.

The previous prime is 38948532457. The next prime is 38948532481. The reversal of 38948532480 is 8423584983.

38948532480 is a `hidden beast` number, since 3 + 89 + 4 + 85 + 3 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×38948532480² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38948532481) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 548570845 + ... + 548570915.

Almost surely, 2^38948532480 is an apocalyptic number.

38948532480 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 38948532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85261486464).

38948532480 is an abundant number, since it is smaller than the sum of its proper divisors (131574440448).

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

38948532480 is a wasteful number, since it uses less digits than its factorization.

38948532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 38948532480 in words is "thirty-eight billion, nine hundred forty-eight million, five hundred thirty-two thousand, four hundred eighty".