34740672 has 56 divisors (see below), whose sum is σ = 95926656. Its totient is φ = 11075328.

The previous prime is 34740631. The next prime is 34740731. The reversal of 34740672 is 27604743.

It is a super-3 number, since 3×34740672³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483 + ... + 8349.

It is an arithmetic number, because the mean of its divisors is an integer number (1712976).

Almost surely, 2^34740672 is an apocalyptic number.

34740672 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 34740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47963328).

34740672 is an abundant number, since it is smaller than the sum of its proper divisors (61185984).

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

34740672 is a wasteful number, since it uses less digits than its factorization.

34740672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 34740672 is about 5894.1218175399. The cubic root of 34740672 is about 326.2967426165.

The spelling of 34740672 in words is "thirty-four million, seven hundred forty thousand, six hundred seventy-two".