3430789632 has 120 divisors (see below), whose sum is σ = 9943449516. Its totient is φ = 1138753536.

The previous prime is 3430789597. The next prime is 3430789673. The reversal of 3430789632 is 2369870343.

3430789632 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 7 + 8 + 9 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3390034176 + 40755456 = 58224^2 + 6384^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182808 + ... + 1185704.

Almost surely, 2^3430789632 is an apocalyptic number.

3430789632 is a gapful number since it is divisible by the number (32) 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 3430789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971724758).

3430789632 is an abundant number, since it is smaller than the sum of its proper divisors (6512659884).

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

3430789632 is a wasteful number, since it uses less digits than its factorization.

3430789632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3430789632 is about 58572.9428319937. The cubic root of 3430789632 is about 1508.2200027531.

The spelling of 3430789632 in words is "three billion, four hundred thirty million, seven hundred eighty-nine thousand, six hundred thirty-two".