34760672 has 48 divisors (see below), whose sum is σ = 71834112. Its totient is φ = 16536960.

The previous prime is 34760669. The next prime is 34760681. The reversal of 34760672 is 27606743.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66203 + ... + 66725.

It is an arithmetic number, because the mean of its divisors is an integer number (1496544).

Almost surely, 2^34760672 is an apocalyptic number.

34760672 is a gapful number since it is divisible by the number (32) 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 34760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35917056).

34760672 is an abundant number, since it is smaller than the sum of its proper divisors (37073440).

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

34760672 is a wasteful number, since it uses less digits than its factorization.

34760672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 34760672 is about 5895.8181790147. The cubic root of 34760672 is about 326.3593463080.

The spelling of 34760672 in words is "thirty-four million, seven hundred sixty thousand, six hundred seventy-two".