38833835040 has 1152 divisors, whose sum is σ = 184263206400. Its totient is φ = 7184056320.

The previous prime is 38833835003. The next prime is 38833835111. The reversal of 38833835040 is 4053833883.

38833835040 is a `hidden beast` number, since 38 + 8 + 33 + 83 + 504 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41801296 + ... + 41802224.

It is an arithmetic number, because the mean of its divisors is an integer number (159950700).

Almost surely, 2^38833835040 is an apocalyptic number.

38833835040 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 38833835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92131603200).

38833835040 is an abundant number, since it is smaller than the sum of its proper divisors (145429371360).

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

38833835040 is a wasteful number, since it uses less digits than its factorization.

38833835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38833835040 in words is "thirty-eight billion, eight hundred thirty-three million, eight hundred thirty-five thousand, forty".