38029530240 has 1024 divisors, whose sum is σ = 154415923200. Its totient is φ = 8778792960.

The previous prime is 38029530229. The next prime is 38029530241. The reversal of 38029530240 is 4203592083.

38029530240 is a `hidden beast` number, since 3 + 80 + 2 + 9 + 530 + 2 + 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 = 38029530195 and 38029530204.

It is not an unprimeable number, because it can be changed into a prime (38029530241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 299445057 + ... + 299445183.

It is an arithmetic number, because the mean of its divisors is an integer number (150796800).

Almost surely, 2^38029530240 is an apocalyptic number.

38029530240 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 38029530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77207961600).

38029530240 is an abundant number, since it is smaller than the sum of its proper divisors (116386392960).

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

38029530240 is a wasteful number, since it uses less digits than its factorization.

38029530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38029530240 in words is "thirty-eight billion, twenty-nine million, five hundred thirty thousand, two hundred forty".