34736640 has 80 divisors (see below), whose sum is σ = 111073248. Its totient is φ = 9261056.

The previous prime is 34736629. The next prime is 34736651. The reversal of 34736640 is 4663743.

It is an interprime number because it is at equal distance from previous prime (34736629) and next prime (34736651).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5419 + ... + 9941.

Almost surely, 2^34736640 is an apocalyptic number.

34736640 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 34736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55536624).

34736640 is an abundant number, since it is smaller than the sum of its proper divisors (76336608).

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

34736640 is an equidigital number, since it uses as much as digits as its factorization.

34736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 34736640 is about 5893.7797719290. The cubic root of 34736640 is about 326.2841188023.

The spelling of 34736640 in words is "thirty-four million, seven hundred thirty-six thousand, six hundred forty".