3430677700 has 108 divisors (see below), whose sum is σ = 7900744320. Its totient is φ = 1290569280.

The previous prime is 3430677683. The next prime is 3430677709. The reversal of 3430677700 is 77760343.

It is a super-3 number, since 3×3430677700³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3430677700.

It is not an unprimeable number, because it can be changed into a prime (3430677709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14354181 + ... + 14354419.

It is an arithmetic number, because the mean of its divisors is an integer number (73155040).

Almost surely, 2^3430677700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430677700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950372160).

3430677700 is an abundant number, since it is smaller than the sum of its proper divisors (4470066620).

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

3430677700 is a wasteful number, since it uses less digits than its factorization.

3430677700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 37.

The square root of 3430677700 is about 58571.9873318295. The cubic root of 3430677700 is about 1508.2036003176.

The spelling of 3430677700 in words is "three billion, four hundred thirty million, six hundred seventy-seven thousand, seven hundred".