38058599040 has 1024 divisors, whose sum is σ = 168782745600. Its totient is φ = 7042498560.

The previous prime is 38058599003. The next prime is 38058599053. The reversal of 38058599040 is 4099585083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 47751922 + ... + 47752718.

It is an arithmetic number, because the mean of its divisors is an integer number (164826900).

Almost surely, 2^38058599040 is an apocalyptic number.

38058599040 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 38058599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84391372800).

38058599040 is an abundant number, since it is smaller than the sum of its proper divisors (130724146560).

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

38058599040 is a wasteful number, since it uses less digits than its factorization.

38058599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 38058599040 in words is "thirty-eight billion, fifty-eight million, five hundred ninety-nine thousand, forty".