34766640 has 120 divisors (see below), whose sum is σ = 118095120. Its totient is φ = 9165312.

The previous prime is 34766591. The next prime is 34766651. The reversal of 34766640 is 4666743.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 34766595 and 34766604.

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, 78259 + ... + 78701.

It is an arithmetic number, because the mean of its divisors is an integer number (984126).

Almost surely, 2^34766640 is an apocalyptic number.

34766640 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 34766640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59047560).

34766640 is an abundant number, since it is smaller than the sum of its proper divisors (83328480).

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

34766640 is a wasteful number, since it uses less digits than its factorization.

34766640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 34766640 is about 5896.3242787350. The cubic root of 34766640 is about 326.3780225975.

The spelling of 34766640 in words is "thirty-four million, seven hundred sixty-six thousand, six hundred forty".