3842001400 has 96 divisors (see below), whose sum is σ = 9432990000. Its totient is φ = 1451243520.

The previous prime is 3842001389. The next prime is 3842001413. The reversal of 3842001400 is 41002483.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1324752 + ... + 1327648.

Almost surely, 2^3842001400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3842001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716495000).

3842001400 is an abundant number, since it is smaller than the sum of its proper divisors (5590988600).

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

3842001400 is a wasteful number, since it uses less digits than its factorization.

3842001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3842001400 is about 61983.8801625068. The cubic root of 3842001400 is about 1566.2190653307.

Adding to 3842001400 its reverse (41002483), we get a palindrome (3883003883).

The spelling of 3842001400 in words is "three billion, eight hundred forty-two million, one thousand, four hundred".