3842634000 has 160 divisors (see below), whose sum is σ = 12592944000. Its totient is φ = 1007808000.

The previous prime is 3842633987. The next prime is 3842634013. The reversal of 3842634000 is 4362483.

It is an interprime number because it is at equal distance from previous prime (3842633987) and next prime (3842634013).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360751 + ... + 371249.

It is an arithmetic number, because the mean of its divisors is an integer number (78705900).

Almost surely, 2^3842634000 is an apocalyptic number.

3842634000 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 3842634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296472000).

3842634000 is an abundant number, since it is smaller than the sum of its proper divisors (8750310000).

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

3842634000 is a wasteful number, since it uses less digits than its factorization.

3842634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3842634000 is about 61988.9828921237. The cubic root of 3842634000 is about 1566.3050219024.

Adding to 3842634000 its reverse (4362483), we get a palindrome (3846996483).

The spelling of 3842634000 in words is "three billion, eight hundred forty-two million, six hundred thirty-four thousand".