382748106240 has 480 divisors, whose sum is σ = 1374914455200. Its totient is φ = 98285322240.

The previous prime is 382748106217. The next prime is 382748106319. The reversal of 382748106240 is 42601847283.

It is a happy number.

382748106240 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 4 + 8 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×382748106240⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

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 47 ways as a sum of consecutive naturals, for example, 461698146 + ... + 461698974.

It is an arithmetic number, because the mean of its divisors is an integer number (2864405115).

Almost surely, 2^382748106240 is an apocalyptic number.

382748106240 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 382748106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687457227600).

382748106240 is an abundant number, since it is smaller than the sum of its proper divisors (992166348960).

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

382748106240 is a wasteful number, since it uses less digits than its factorization.

382748106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 382748106240 in words is "three hundred eighty-two billion, seven hundred forty-eight million, one hundred six thousand, two hundred forty".