3434456010 has 64 divisors (see below), whose sum is σ = 8447928192. Its totient is φ = 893120256.

The previous prime is 3434456009. The next prime is 3434456083. The reversal of 3434456010 is 106544343.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 974772 + ... + 978288.

It is an arithmetic number, because the mean of its divisors is an integer number (131998878).

Almost surely, 2^3434456010 is an apocalyptic number.

3434456010 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 3434456010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223964096).

3434456010 is an abundant number, since it is smaller than the sum of its proper divisors (5013472182).

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

3434456010 is a wasteful number, since it uses less digits than its factorization.

3434456010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3434456010 is about 58604.2320144203. The cubic root of 3434456010 is about 1508.7570740585.

The spelling of 3434456010 in words is "three billion, four hundred thirty-four million, four hundred fifty-six thousand, ten".