34727813316 has 567 divisors, whose sum is σ = 116613703479. Its totient is φ = 9016551936.

The previous prime is 34727813273. The next prime is 34727813347. The reversal of 34727813316 is 61331872743.

The square root of 34727813316 is 186354.

It is a perfect power (a square), and thus also a powerful number.

34727813316 is a `hidden beast` number, since 3 + 47 + 278 + 1 + 331 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3432788100 + 31295025216 = 58590^2 + 176904^2 .

It is a tau number, because it is divible by the number of its divisors (567).

Its product of digits (508032) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1197510790 + ... + 1197510818.

Almost surely, 2^34727813316 is an apocalyptic number.

34727813316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34727813316 is the 186354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34727813316

34727813316 is an abundant number, since it is smaller than the sum of its proper divisors (81885890163).

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

34727813316 is a wasteful number, since it uses less digits than its factorization.

34727813316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 58 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 34727813316 in words is "thirty-four billion, seven hundred twenty-seven million, eight hundred thirteen thousand, three hundred sixteen".