34490610 has 240 divisors, whose sum is σ = 119180160. Its totient is φ = 7076160.

The previous prime is 34490579. The next prime is 34490627. The reversal of 34490610 is 1609443.

34490610 is a `hidden beast` number, since 3 + 4 + 49 + 0 + 610 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 436551 + ... + 436629.

It is an arithmetic number, because the mean of its divisors is an integer number (496584).

Almost surely, 2^34490610 is an apocalyptic number.

34490610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34490610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59590080).

34490610 is an abundant number, since it is smaller than the sum of its proper divisors (84689550).

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

34490610 is a wasteful number, since it uses less digits than its factorization.

34490610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34490610 is about 5872.8706779564. The cubic root of 34490610 is about 325.5119662614.

The spelling of 34490610 in words is "thirty-four million, four hundred ninety thousand, six hundred ten".