38351945318400 has 2700 divisors, whose sum is σ = 170829767820096. Its totient is φ = 8472231936000.

The previous prime is 38351945318399. The next prime is 38351945318411. The reversal of 38351945318400 is 481354915383.

It is a happy number.

38351945318400 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 1 + 9 + 453 + 184 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 50396774020 + ... + 50396774780.

Almost surely, 2^{38351945318400} is an apocalyptic number.

38351945318400 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 38351945318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85414883910048).

38351945318400 is an abundant number, since it is smaller than the sum of its proper divisors (132477822501696).

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

38351945318400 is an equidigital number, since it uses as much as digits as its factorization.

38351945318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 38351945318400 in words is "thirty-eight trillion, three hundred fifty-one billion, nine hundred forty-five million, three hundred eighteen thousand, four hundred".