34892010 has 48 divisors (see below), whose sum is σ = 92270880. Its totient is φ = 9145440.

The previous prime is 34892003. The next prime is 34892021. The reversal of 34892010 is 1029843.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 2025 + ... + 8595.

It is an arithmetic number, because the mean of its divisors is an integer number (1922310).

Almost surely, 2^34892010 is an apocalyptic number.

34892010 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 34892010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46135440).

34892010 is an abundant number, since it is smaller than the sum of its proper divisors (57378870).

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

34892010 is a wasteful number, since it uses less digits than its factorization.

34892010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 34892010 is about 5906.9459113826. The cubic root of 34892010 is about 326.7698630414.

The spelling of 34892010 in words is "thirty-four million, eight hundred ninety-two thousand, ten".