38609161084800 has 1152 divisors, whose sum is σ = 146896243752960. Its totient is φ = 9635212984320.

The previous prime is 38609161084789. The next prime is 38609161084817. The reversal of 38609161084800 is 848016190683.

38609161084800 is a `hidden beast` number, since 3 + 8 + 60 + 91 + 6 + 10 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6141107257 + ... + 6141113543.

It is an arithmetic number, because the mean of its divisors is an integer number (127514100480).

Almost surely, 2^{38609161084800} is an apocalyptic number.

38609161084800 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 38609161084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73448121876480).

38609161084800 is an abundant number, since it is smaller than the sum of its proper divisors (108287082668160).

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

38609161084800 is a wasteful number, since it uses less digits than its factorization.

38609161084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 38609161084800 in words is "thirty-eight trillion, six hundred nine billion, one hundred sixty-one million, eighty-four thousand, eight hundred".