3835411398 has 216 divisors, whose sum is σ = 10866682008. Its totient is φ = 1010475648.

The previous prime is 3835411397. The next prime is 3835411399. The reversal of 3835411398 is 8931145383.

3835411398 is a `hidden beast` number, since 3 + 8 + 3 + 541 + 13 + 98 = 666.

It is an interprime number because it is at equal distance from previous prime (3835411397) and next prime (3835411399).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835411397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4024090 + ... + 4025042.

It is an arithmetic number, because the mean of its divisors is an integer number (50308713).

Almost surely, 2^3835411398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835411398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433341004).

3835411398 is an abundant number, since it is smaller than the sum of its proper divisors (7031270610).

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

3835411398 is a wasteful number, since it uses less digits than its factorization.

3835411398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 978 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3835411398 is about 61930.6983490417. The cubic root of 3835411398 is about 1565.3230658599.

The spelling of 3835411398 in words is "three billion, eight hundred thirty-five million, four hundred eleven thousand, three hundred ninety-eight".