38475733824000 has 2880 divisors, whose sum is σ = 160195047217920. Its totient is φ = 8799436800000.

The previous prime is 38475733823881. The next prime is 38475733824001. The reversal of 38475733824000 is 42833757483.

38475733824000 is a `hidden beast` number, since 3 + 8 + 47 + 573 + 3 + 8 + 24 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (38475733824001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 432311615956 + ... + 432311616044.

It is an arithmetic number, because the mean of its divisors is an integer number (55623280284).

Almost surely, 2^{38475733824000} is an apocalyptic number.

38475733824000 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 38475733824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80097523608960).

38475733824000 is an abundant number, since it is smaller than the sum of its proper divisors (121719313393920).

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

38475733824000 is a wasteful number, since it uses less digits than its factorization.

38475733824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 38475733824000 in words is "thirty-eight trillion, four hundred seventy-five billion, seven hundred thirty-three million, eight hundred twenty-four thousand".