34640640 has 216 divisors, whose sum is σ = 124994688. Its totient is φ = 8847360.

The previous prime is 34640633. The next prime is 34640657. The reversal of 34640640 is 4604643.

34640640 = 12³ + 13³ + ... + 108³.

It is a happy number.

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, 357072 + ... + 357168.

Almost surely, 2^34640640 is an apocalyptic number.

34640640 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 34640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62497344).

34640640 is an abundant number, since it is smaller than the sum of its proper divisors (90354048).

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

34640640 is a wasteful number, since it uses less digits than its factorization.

34640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34640640 is about 5885.6299577870. The cubic root of 34640640 is about 325.9832628440.

The spelling of 34640640 in words is "thirty-four million, six hundred forty thousand, six hundred forty".