34719840 has 288 divisors, whose sum is σ = 132088320. Its totient is φ = 8584704.

The previous prime is 34719833. The next prime is 34719851. The reversal of 34719840 is 4891743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 34719795 and 34719804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738697 + ... + 738743.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^34719840 is an apocalyptic number.

34719840 is a gapful number since it is divisible by the number (30) 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 34719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

34719840 is an abundant number, since it is smaller than the sum of its proper divisors (97368480).

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

34719840 is a wasteful number, since it uses less digits than its factorization.

34719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 34719840 is about 5892.3543681622. The cubic root of 34719840 is about 326.2315090590.

The spelling of 34719840 in words is "thirty-four million, seven hundred nineteen thousand, eight hundred forty".