38452211755680 has 192 divisors, whose sum is σ = 127509986419200. Its totient is φ = 9713439360000.

The previous prime is 38452211755679. The next prime is 38452211755747. The reversal of 38452211755680 is 8655711225483.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 38452211755680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114187555 + ... + 114523805.

It is an arithmetic number, because the mean of its divisors is an integer number (664114512600).

Almost surely, 2^{38452211755680} is an apocalyptic number.

38452211755680 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 38452211755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63754993209600).

38452211755680 is an abundant number, since it is smaller than the sum of its proper divisors (89057774663520).

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

38452211755680 is a wasteful number, since it uses less digits than its factorization.

38452211755680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348827 (or 348819 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 38452211755680 in words is "thirty-eight trillion, four hundred fifty-two billion, two hundred eleven million, seven hundred fifty-five thousand, six hundred eighty".