3434086656 has 432 divisors, whose sum is σ = 13303006080. Its totient is φ = 822804480.

The previous prime is 3434086637. The next prime is 3434086673. The reversal of 3434086656 is 6566804343.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2305560 + ... + 2307048.

Almost surely, 2^3434086656 is an apocalyptic number.

3434086656 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 3434086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651503040).

3434086656 is an abundant number, since it is smaller than the sum of its proper divisors (9868919424).

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

3434086656 is a wasteful number, since it uses less digits than its factorization.

3434086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3434086656 is about 58601.0806726292. The cubic root of 3434086656 is about 1508.7029863624.

The spelling of 3434086656 in words is "three billion, four hundred thirty-four million, eighty-six thousand, six hundred fifty-six".