38005160832 has 384 divisors, whose sum is σ = 118851183360. Its totient is φ = 11613782016.

The previous prime is 38005160819. The next prime is 38005160839. The reversal of 38005160832 is 23806150083.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38005160839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167423503 + ... + 167423729.

It is an arithmetic number, because the mean of its divisors is an integer number (309508290).

Almost surely, 2^38005160832 is an apocalyptic number.

38005160832 is a gapful number since it is divisible by the number (32) 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 38005160832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59425591680).

38005160832 is an abundant number, since it is smaller than the sum of its proper divisors (80846022528).

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

38005160832 is a wasteful number, since it uses less digits than its factorization.

38005160832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 38005160832 in words is "thirty-eight billion, five million, one hundred sixty thousand, eight hundred thirty-two".