3459995136 has 240 divisors, whose sum is σ = 11097749520. Its totient is φ = 1063895040.

The previous prime is 3459995117. The next prime is 3459995221. The reversal of 3459995136 is 6315999543.

3459995136 is a `hidden beast` number, since 34 + 5 + 9 + 99 + 513 + 6 = 666.

It is a super-2 number, since 2×3459995136² = 23943132682287316992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2335516 + ... + 2336996.

It is an arithmetic number, because the mean of its divisors is an integer number (46240623).

Almost surely, 2^3459995136 is an apocalyptic number.

3459995136 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 3459995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548874760).

3459995136 is an abundant number, since it is smaller than the sum of its proper divisors (7637754384).

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

3459995136 is a wasteful number, since it uses less digits than its factorization.

3459995136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1499 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 54.

The square root of 3459995136 is about 58821.7233341561. The cubic root of 3459995136 is about 1512.4876230210.

The spelling of 3459995136 in words is "three billion, four hundred fifty-nine million, nine hundred ninety-five thousand, one hundred thirty-six".