381632552760 has 128 divisors (see below), whose sum is σ = 1151992005120. Its totient is φ = 101139236352.

The previous prime is 381632552711. The next prime is 381632552761. The reversal of 381632552760 is 67255236183.

It is a happy number.

381632552760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×381632552760² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381632552761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22378557 + ... + 22395603.

It is an arithmetic number, because the mean of its divisors is an integer number (8999937540).

Almost surely, 2^381632552760 is an apocalyptic number.

381632552760 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 381632552760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575996002560).

381632552760 is an abundant number, since it is smaller than the sum of its proper divisors (770359452360).

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

381632552760 is a wasteful number, since it uses less digits than its factorization.

381632552760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18205 (or 18201 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 381632552760 in words is "three hundred eighty-one billion, six hundred thirty-two million, five hundred fifty-two thousand, seven hundred sixty".