38382141423600 has 360 divisors, whose sum is σ = 143471679641472. Its totient is φ = 9445995878400.

The previous prime is 38382141423551. The next prime is 38382141423611. The reversal of 38382141423600 is 632414128383.

38382141423600 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 2 + 1 + 4 + 14 + 23 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×38382141423600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 237990990 + ... + 238152210.

Almost surely, 2^{38382141423600} is an apocalyptic number.

38382141423600 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 38382141423600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71735839820736).

38382141423600 is an abundant number, since it is smaller than the sum of its proper divisors (105089538217872).

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

38382141423600 is a wasteful number, since it uses less digits than its factorization.

38382141423600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166345 (or 166331 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 38382141423600 in words is "thirty-eight trillion, three hundred eighty-two billion, one hundred forty-one million, four hundred twenty-three thousand, six hundred".