34991712 has 144 divisors (see below), whose sum is σ = 120530592. Its totient is φ = 9400320.

The previous prime is 34991687. The next prime is 34991741. The reversal of 34991712 is 21719943.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33762 + ... + 34782.

It is an arithmetic number, because the mean of its divisors is an integer number (837018).

Almost surely, 2^34991712 is an apocalyptic number.

34991712 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 34991712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60265296).

34991712 is an abundant number, since it is smaller than the sum of its proper divisors (85538880).

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

34991712 is a wasteful number, since it uses less digits than its factorization.

34991712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1050 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 34991712 is about 5915.3792777809. The cubic root of 34991712 is about 327.0808093638.

The spelling of 34991712 in words is "thirty-four million, nine hundred ninety-one thousand, seven hundred twelve".