34815690 has 192 divisors, whose sum is σ = 115948800. Its totient is φ = 7278336.

The previous prime is 34815667. The next prime is 34815691. The reversal of 34815690 is 9651843.

34815690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34815690² = 2424264540352200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34815691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319356 + ... + 319464.

It is an arithmetic number, because the mean of its divisors is an integer number (603900).

Almost surely, 2^34815690 is an apocalyptic number.

34815690 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 34815690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57974400).

34815690 is an abundant number, since it is smaller than the sum of its proper divisors (81133110).

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

34815690 is a wasteful number, since it uses less digits than its factorization.

34815690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 34815690 is about 5900.4821836863. The cubic root of 34815690 is about 326.5314390075.

The spelling of 34815690 in words is "thirty-four million, eight hundred fifteen thousand, six hundred ninety".