38540724480 has 288 divisors, whose sum is σ = 144813312000. Its totient is φ = 9672818688.

The previous prime is 38540724421. The next prime is 38540724491. The reversal of 38540724480 is 8442704583.

It is a happy number.

38540724480 is a `hidden beast` number, since 3 + 8 + 540 + 7 + 24 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554721 + ... + 620319.

It is an arithmetic number, because the mean of its divisors is an integer number (502824000).

Almost surely, 2^38540724480 is an apocalyptic number.

38540724480 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 38540724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72406656000).

38540724480 is an abundant number, since it is smaller than the sum of its proper divisors (106272587520).

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

38540724480 is a wasteful number, since it uses less digits than its factorization.

38540724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65646 (or 65626 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 38540724480 in words is "thirty-eight billion, five hundred forty million, seven hundred twenty-four thousand, four hundred eighty".