3414670336 has 264 divisors, whose sum is σ = 8921120768. Its totient is φ = 1277337600.

The previous prime is 3414670289. The next prime is 3414670373. The reversal of 3414670336 is 6330764143.

It is a junction number, because it is equal to n+sod(n) for n = 3414670295 and 3414670304.

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, 26887105 + ... + 26887231.

Almost surely, 2^3414670336 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 3414670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460560384).

3414670336 is an abundant number, since it is smaller than the sum of its proper divisors (5506450432).

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

3414670336 is a wasteful number, since it uses less digits than its factorization.

3414670336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The square root of 3414670336 is about 58435.1806363256. The cubic root of 3414670336 is about 1505.8542092473.

The spelling of 3414670336 in words is "three billion, four hundred fourteen million, six hundred seventy thousand, three hundred thirty-six".