38754603972000 has 576 divisors, whose sum is σ = 157227187912704. Its totient is φ = 8856024883200.

The previous prime is 38754603971989. The next prime is 38754603972017. The reversal of 38754603972000 is 27930645783.

38754603972000 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 4 + 603 + 9 + 7 + 20 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1173547489 + ... + 1173580511.

It is an arithmetic number, because the mean of its divisors is an integer number (272963867904).

Almost surely, 2^{38754603972000} is an apocalyptic number.

38754603972000 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 38754603972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78613593956352).

38754603972000 is an abundant number, since it is smaller than the sum of its proper divisors (118472583940704).

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

38754603972000 is a wasteful number, since it uses less digits than its factorization.

38754603972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37718 (or 37697 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 38754603972000 in words is "thirty-eight trillion, seven hundred fifty-four billion, six hundred three million, nine hundred seventy-two thousand".