3395087136 has 336 divisors, whose sum is σ = 12136811904. Its totient is φ = 912218112.

The previous prime is 3395087131. The next prime is 3395087177. The reversal of 3395087136 is 6317805933.

3395087136 is a `hidden beast` number, since 3 + 3 + 9 + 508 + 7 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3395087136² = 23053233322065364992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3395087091 and 3395087100.

It is not an unprimeable number, because it can be changed into a prime (3395087131) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2775421 + ... + 2776643.

It is an arithmetic number, because the mean of its divisors is an integer number (36121464).

Almost surely, 2^3395087136 is an apocalyptic number.

3395087136 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 3395087136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068405952).

3395087136 is an abundant number, since it is smaller than the sum of its proper divisors (8741724768).

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

3395087136 is a wasteful number, since it uses less digits than its factorization.

3395087136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3395087136 is about 58267.3762580743. The cubic root of 3395087136 is about 1502.9699875681.

The spelling of 3395087136 in words is "three billion, three hundred ninety-five million, eighty-seven thousand, one hundred thirty-six".