38142165600 has 2304 divisors, whose sum is σ = 194387558400. Its totient is φ = 6967296000.

The previous prime is 38142165599. The next prime is 38142165623. The reversal of 38142165600 is 656124183.

It is a happy number.

38142165600 is a `hidden beast` number, since 3 + 8 + 1 + 42 + 1 + 6 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 537213565 + ... + 537213635.

It is an arithmetic number, because the mean of its divisors is an integer number (84369600).

Almost surely, 2^38142165600 is an apocalyptic number.

38142165600 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 38142165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97193779200).

38142165600 is an abundant number, since it is smaller than the sum of its proper divisors (156245392800).

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

38142165600 is a wasteful number, since it uses less digits than its factorization.

38142165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

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

Adding to 38142165600 its reverse (656124183), we get a palindrome (38798289783).

The spelling of 38142165600 in words is "thirty-eight billion, one hundred forty-two million, one hundred sixty-five thousand, six hundred".