3835201338 has 128 divisors (see below), whose sum is σ = 9351072000. Its totient is φ = 1160490240.

The previous prime is 3835201327. The next prime is 3835201361. The reversal of 3835201338 is 8331025383.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4670968 + ... + 4671788.

It is an arithmetic number, because the mean of its divisors is an integer number (73055250).

Almost surely, 2^3835201338 is an apocalyptic number.

3835201338 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835201338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675536000).

3835201338 is an abundant number, since it is smaller than the sum of its proper divisors (5515870662).

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

3835201338 is a wasteful number, since it uses less digits than its factorization.

3835201338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3835201338 is about 61929.0023979072. The cubic root of 3835201338 is about 1565.2944885025.

The spelling of 3835201338 in words is "three billion, eight hundred thirty-five million, two hundred one thousand, three hundred thirty-eight".