38480534526720 has 2304 divisors, whose sum is σ = 159100381440000. Its totient is φ = 7782562529280.

The previous prime is 38480534526697. The next prime is 38480534526737. The reversal of 38480534526720 is 2762543508483.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26928294966 + ... + 26928296394.

It is an arithmetic number, because the mean of its divisors is an integer number (69053985000).

Almost surely, 2^{38480534526720} is an apocalyptic number.

38480534526720 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 38480534526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79550190720000).

38480534526720 is an abundant number, since it is smaller than the sum of its proper divisors (120619846913280).

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

38480534526720 is a wasteful number, since it uses less digits than its factorization.

38480534526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 38480534526720 in words is "thirty-eight trillion, four hundred eighty billion, five hundred thirty-four million, five hundred twenty-six thousand, seven hundred twenty".