3345515136 has 512 divisors, whose sum is σ = 11441952000. Its totient is φ = 967458816.

The previous prime is 3345515123. The next prime is 3345515141. The reversal of 3345515136 is 6315155433.

3345515136 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 515 + 136 = 666.

It is a super-3 number, since 3×3345515136³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (81000) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 3345515136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90419310 + ... + 90419346.

Almost surely, 2^3345515136 is an apocalyptic number.

3345515136 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 3345515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720976000).

3345515136 is an abundant number, since it is smaller than the sum of its proper divisors (8096436864).

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

3345515136 is an equidigital number, since it uses as much as digits as its factorization.

3345515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 3345515136 is about 57840.4282141825. The cubic root of 3345515136 is about 1495.6190895387.

The spelling of 3345515136 in words is "three billion, three hundred forty-five million, five hundred fifteen thousand, one hundred thirty-six".