34649856 has 108 divisors (see below), whose sum is σ = 103790232. Its totient is φ = 11529216.

The previous prime is 34649843. The next prime is 34649911. The reversal of 34649856 is 65894643.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×34649856² = 2401225041641472, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61930 + ... + 62486.

Almost surely, 2^34649856 is an apocalyptic number.

34649856 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 34649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51895116).

34649856 is an abundant number, since it is smaller than the sum of its proper divisors (69140376).

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

34649856 is an frugal number, since it uses more digits than its factorization.

34649856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 562 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 34649856 is about 5886.4128295593. The cubic root of 34649856 is about 326.0121691168.

The spelling of 34649856 in words is "thirty-four million, six hundred forty-nine thousand, eight hundred fifty-six".