38347245036000 has 1152 divisors, whose sum is σ = 141409604044800. Its totient is φ = 9833815756800.

The previous prime is 38347245035941. The next prime is 38347245036019. The reversal of 38347245036000 is 63054274383.

38347245036000 is a `hidden beast` number, since 3 + 8 + 3 + 47 + 245 + 0 + 360 + 0 + 0 = 666.

It is a super-2 number, since 2×38347245036000² (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 191 ways as a sum of consecutive naturals, for example, 51890723631 + ... + 51890724369.

It is an arithmetic number, because the mean of its divisors is an integer number (122751392400).

Almost surely, 2^{38347245036000} is an apocalyptic number.

38347245036000 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 38347245036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70704802022400).

38347245036000 is an abundant number, since it is smaller than the sum of its proper divisors (103062359008800).

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

38347245036000 is a wasteful number, since it uses less digits than its factorization.

38347245036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 38347245036000 in words is "thirty-eight trillion, three hundred forty-seven billion, two hundred forty-five million, thirty-six thousand".