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3396431808 = 263271176579
BaseRepresentation
bin1100101001110001…
…0110111111000000
322202200222121112200
43022130112333000
523423441304213
61321005153200
7150111123360
oct31234267700
98680877480
103396431808
111493219540
127a955b800
13421876983
1424311c9a0
1514d2a0273
hexca716fc0

3396431808 has 168 divisors, whose sum is σ = 12137623680. Its totient is φ = 882178560.

The previous prime is 3396431747. The next prime is 3396431833. The reversal of 3396431808 is 8081346933.

3396431808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6063 + ... + 82641.

It is an arithmetic number, because the mean of its divisors is an integer number (72247760).

Almost surely, 23396431808 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 3396431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068811840).

3396431808 is an abundant number, since it is smaller than the sum of its proper divisors (8741191872).

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

3396431808 is a wasteful number, since it uses less digits than its factorization.

3396431808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76615 (or 76602 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3396431808 is about 58278.9139226187. The cubic root of 3396431808 is about 1503.1683855101.

The spelling of 3396431808 in words is "three billion, three hundred ninety-six million, four hundred thirty-one thousand, eight hundred eight".