3698136288 has 576 divisors, whose sum is σ = 14114580480. Its totient is φ = 889574400.

The previous prime is 3698136287. The next prime is 3698136313. The reversal of 3698136288 is 8826318963.

It is a happy number.

3698136288 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 1 + 3 + 628 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3698136287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28229983 + ... + 28230113.

It is an arithmetic number, because the mean of its divisors is an integer number (24504480).

Almost surely, 2^3698136288 is an apocalyptic number.

3698136288 is a gapful number since it is divisible by the number (38) 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 3698136288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057290240).

3698136288 is an abundant number, since it is smaller than the sum of its proper divisors (10416444192).

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

3698136288 is a wasteful number, since it uses less digits than its factorization.

3698136288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 3698136288 is about 60812.3037550790. The cubic root of 3698136288 is about 1546.4206394570.

The spelling of 3698136288 in words is "three billion, six hundred ninety-eight million, one hundred thirty-six thousand, two hundred eighty-eight".