38329511040 has 1280 divisors, whose sum is σ = 158672701440. Its totient is φ = 8758886400.

The previous prime is 38329511039. The next prime is 38329511081. The reversal of 38329511040 is 4011592383.

38329511040 is a `hidden beast` number, since 3 + 83 + 29 + 511 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38329510986 and 38329511004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 628352610 + ... + 628352670.

It is an arithmetic number, because the mean of its divisors is an integer number (123963048).

Almost surely, 2^38329511040 is an apocalyptic number.

38329511040 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 38329511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79336350720).

38329511040 is an abundant number, since it is smaller than the sum of its proper divisors (120343190400).

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

38329511040 is a wasteful number, since it uses less digits than its factorization.

38329511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 38329511040 in words is "thirty-eight billion, three hundred twenty-nine million, five hundred eleven thousand, forty".