34311680 has 80 divisors (see below), whose sum is σ = 88681824. Its totient is φ = 12656640.

The previous prime is 34311677. The next prime is 34311689. The reversal of 34311680 is 8611343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34311689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32765 + ... + 33795.

Almost surely, 2^34311680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44340912).

34311680 is an abundant number, since it is smaller than the sum of its proper divisors (54370144).

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

34311680 is a wasteful number, since it uses less digits than its factorization.

34311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 34311680 is about 5857.6172630174. The cubic root of 34311680 is about 324.9480942747.

The spelling of 34311680 in words is "thirty-four million, three hundred eleven thousand, six hundred eighty".