3842255340 has 576 divisors, whose sum is σ = 16077035520. Its totient is φ = 717742080.

The previous prime is 3842255321. The next prime is 3842255353. The reversal of 3842255340 is 435522483.

3842255340 is a `hidden beast` number, since 3 + 84 + 22 + 553 + 4 + 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 = 3842255295 and 3842255304.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5418906 + ... + 5419614.

It is an arithmetic number, because the mean of its divisors is an integer number (27911520).

Almost surely, 2^3842255340 is an apocalyptic number.

3842255340 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 3842255340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038517760).

3842255340 is an abundant number, since it is smaller than the sum of its proper divisors (12234780180).

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

3842255340 is a wasteful number, since it uses less digits than its factorization.

3842255340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3842255340 is about 61985.9285644734. The cubic root of 3842255340 is about 1566.2535713833.

The spelling of 3842255340 in words is "three billion, eight hundred forty-two million, two hundred fifty-five thousand, three hundred forty".