38134800000 has 960 divisors, whose sum is σ = 156193440480. Its totient is φ = 9158400000.

The previous prime is 38134799971. The next prime is 38134800001. The reversal of 38134800000 is 843183.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38134800001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 356399947 + ... + 356400053.

Almost surely, 2^38134800000 is an apocalyptic number.

38134800000 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 38134800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78096720240).

38134800000 is an abundant number, since it is smaller than the sum of its proper divisors (118058640480).

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

38134800000 is an equidigital number, since it uses as much as digits as its factorization.

38134800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 38134800000 in words is "thirty-eight billion, one hundred thirty-four million, eight hundred thousand".