3416669136 has 180 divisors, whose sum is σ = 10216301472. Its totient is φ = 1063911552.

The previous prime is 3416669111. The next prime is 3416669141. The reversal of 3416669136 is 6319666143.

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

It is a junction number, because it is equal to n+sod(n) for n = 3416669091 and 3416669100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7315975 + ... + 7316441.

Almost surely, 2^3416669136 is an apocalyptic number.

3416669136 is a gapful number since it is divisible by the number (36) 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 3416669136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108150736).

3416669136 is an abundant number, since it is smaller than the sum of its proper divisors (6799632336).

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

3416669136 is a wasteful number, since it uses less digits than its factorization.

3416669136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 542 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3416669136 is about 58452.2808451475. The cubic root of 3416669136 is about 1506.1479725294.

The spelling of 3416669136 in words is "three billion, four hundred sixteen million, six hundred sixty-nine thousand, one hundred thirty-six".