38361114000 has 1200 divisors, whose sum is σ = 161877555840. Its totient is φ = 8724672000.

The previous prime is 38361113993. The next prime is 38361114037. The reversal of 38361114000 is 41116383.

38361114000 is a `hidden beast` number, since 3 + 8 + 3 + 611 + 1 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

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 239 ways as a sum of consecutive naturals, for example, 372437949 + ... + 372438051.

Almost surely, 2^38361114000 is an apocalyptic number.

38361114000 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 38361114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80938777920).

38361114000 is an abundant number, since it is smaller than the sum of its proper divisors (123516441840).

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

38361114000 is a wasteful number, since it uses less digits than its factorization.

38361114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 38361114000 in words is "thirty-eight billion, three hundred sixty-one million, one hundred fourteen thousand".