3430041876 has 30 divisors (see below), whose sum is σ = 8966807850. Its totient is φ = 1143347184.

The previous prime is 3430041871. The next prime is 3430041883. The reversal of 3430041876 is 6781400343.

It can be written as a sum of positive squares in only one way, i.e., 2437791876 + 992250000 = 49374^2 + 31500^2 .

It is a super-2 number, since 2×3430041876² = 23530374542227198752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3430041876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430041871) 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 9 ways as a sum of consecutive naturals, for example, 5292951 + ... + 5293598.

It is an arithmetic number, because the mean of its divisors is an integer number (298893595).

Almost surely, 2^3430041876 is an apocalyptic number.

3430041876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3430041876 is an abundant number, since it is smaller than the sum of its proper divisors (5536765974).

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

3430041876 is a wasteful number, since it uses less digits than its factorization.

3430041876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586565 (or 10586554 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3430041876 is about 58566.5593662459. The cubic root of 3430041876 is about 1508.1104203516.

It can be divided in two parts, 34300 and 41876, that added together give a square (76176 = 276²).

The spelling of 3430041876 in words is "three billion, four hundred thirty million, forty-one thousand, eight hundred seventy-six".