38662905600000 has 1728 divisors, whose sum is σ = 153706224672000. Its totient is φ = 9284198400000.

The previous prime is 38662905599957. The next prime is 38662905600127. The reversal of 38662905600000 is 650926683.

It is a happy number.

38662905600000 is a `hidden beast` number, since 3 + 8 + 66 + 29 + 0 + 560 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×38662905600000² (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 143 ways as a sum of consecutive naturals, for example, 88070399781 + ... + 88070400219.

It is an arithmetic number, because the mean of its divisors is an integer number (88950361500).

Almost surely, 2^{38662905600000} is an apocalyptic number.

38662905600000 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 38662905600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76853112336000).

38662905600000 is an abundant number, since it is smaller than the sum of its proper divisors (115043319072000).

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

38662905600000 is a wasteful number, since it uses less digits than its factorization.

38662905600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 38662905600000 in words is "thirty-eight trillion, six hundred sixty-two billion, nine hundred five million, six hundred thousand".