34864830 has 320 divisors, whose sum is σ = 128798208. Its totient is φ = 6531840.

The previous prime is 34864813. The next prime is 34864847. The reversal of 34864830 is 3846843.

34864830 is a `hidden beast` number, since 3 + 4 + 8 + 648 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34864813) and next prime (34864847).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 810789 + ... + 810831.

Almost surely, 2^34864830 is an apocalyptic number.

34864830 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 34864830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64399104).

34864830 is an abundant number, since it is smaller than the sum of its proper divisors (93933378).

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

34864830 is a wasteful number, since it uses less digits than its factorization.

34864830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34864830 is about 5904.6447818645. The cubic root of 34864830 is about 326.6849924931.

The spelling of 34864830 in words is "thirty-four million, eight hundred sixty-four thousand, eight hundred thirty".