38285449113600 has 780 divisors, whose sum is σ = 152728000869136. Its totient is φ = 9424084008960.

The previous prime is 38285449113589. The next prime is 38285449113619. The reversal of 38285449113600 is 631194458283.

It is a happy number.

38285449113600 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 544 + 91 + 1 + 3 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (780).

It is a super-2 number, since 2×38285449113600² (a number of 28 digits) contains 22 as substring.

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

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 59 ways as a sum of consecutive naturals, for example, 107649669 + ... + 108004731.

Almost surely, 2^{38285449113600} is an apocalyptic number.

38285449113600 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 38285449113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76364000434568).

38285449113600 is an abundant number, since it is smaller than the sum of its proper divisors (114442551755536).

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

38285449113600 is a wasteful number, since it uses less digits than its factorization.

38285449113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355122 (or 355086 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 38285449113600 in words is "thirty-eight trillion, two hundred eighty-five billion, four hundred forty-nine million, one hundred thirteen thousand, six hundred".