3852426240 has 528 divisors, whose sum is σ = 14753138400. Its totient is φ = 923664384.

The previous prime is 3852426217. The next prime is 3852426247. The reversal of 3852426240 is 426242583.

3852426240 is a `hidden beast` number, since 3 + 8 + 5 + 24 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3852426195 and 3852426204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3852426247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35343306 + ... + 35343414.

It is an arithmetic number, because the mean of its divisors is an integer number (27941550).

Almost surely, 2^3852426240 is an apocalyptic number.

3852426240 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 3852426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376569200).

3852426240 is an abundant number, since it is smaller than the sum of its proper divisors (10900712160).

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

3852426240 is a wasteful number, since it uses less digits than its factorization.

3852426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3852426240 is about 62067.9163497535. The cubic root of 3852426240 is about 1567.6343726141.

The spelling of 3852426240 in words is "three billion, eight hundred fifty-two million, four hundred twenty-six thousand, two hundred forty".