38353995100512 has 1728 divisors, whose sum is σ = 148034616387840. Its totient is φ = 9672411377664.

The previous prime is 38353995100511. The next prime is 38353995100537. The reversal of 38353995100512 is 21500159935383.

38353995100512 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 39 + 95 + 1 + 0 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38353995100511) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10813078323 + ... + 10813081869.

It is an arithmetic number, because the mean of its divisors is an integer number (85668180780).

Almost surely, 2^{38353995100512} is an apocalyptic number.

38353995100512 is a gapful number since it is divisible by the number (32) 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 38353995100512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74017308193920).

38353995100512 is an abundant number, since it is smaller than the sum of its proper divisors (109680621287328).

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

38353995100512 is a wasteful number, since it uses less digits than its factorization.

38353995100512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 38353995100512 in words is "thirty-eight trillion, three hundred fifty-three billion, nine hundred ninety-five million, one hundred thousand, five hundred twelve".