38605507200000 has 3696 divisors, whose sum is σ = 166393818239040. Its totient is φ = 8868372480000.

The previous prime is 38605507199983. The next prime is 38605507200017. The reversal of 38605507200000 is 270550683.

38605507200000 is a `hidden beast` number, since 3 + 86 + 0 + 550 + 7 + 20 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38605507199983) and next prime (38605507200017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 576201599967 + ... + 576201600033.

Almost surely, 2^{38605507200000} is an apocalyptic number.

38605507200000 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 38605507200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83196909119520).

38605507200000 is an abundant number, since it is smaller than the sum of its proper divisors (127788311039040).

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

38605507200000 is an frugal number, since it uses more digits than its factorization.

38605507200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 38605507200000 its reverse (270550683), we get a palindrome (38605777750683).

The spelling of 38605507200000 in words is "thirty-eight trillion, six hundred five billion, five hundred seven million, two hundred thousand".