3430770000 has 600 divisors, whose sum is σ = 13847917248. Its totient is φ = 714240000.

The previous prime is 3430769989. The next prime is 3430770001. The reversal of 3430770000 is 770343.

3430770000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430770001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110669985 + ... + 110670015.

Almost surely, 2^3430770000 is an apocalyptic number.

3430770000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923958624).

3430770000 is an abundant number, since it is smaller than the sum of its proper divisors (10417147248).

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

3430770000 is a wasteful number, since it uses less digits than its factorization.

3430770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 3430770000 is about 58572.7752458427. The cubic root of 3430770000 is about 1508.2171259196.

The spelling of 3430770000 in words is "three billion, four hundred thirty million, seven hundred seventy thousand".