3434632320 has 512 divisors, whose sum is σ = 13423656960. Its totient is φ = 729907200.

The previous prime is 3434632309. The next prime is 3434632351. The reversal of 3434632320 is 232364343.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12673785 + ... + 12674055.

It is an arithmetic number, because the mean of its divisors is an integer number (26218080).

Almost surely, 2^3434632320 is an apocalyptic number.

3434632320 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 3434632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711828480).

3434632320 is an abundant number, since it is smaller than the sum of its proper divisors (9989024640).

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

3434632320 is a wasteful number, since it uses less digits than its factorization.

3434632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

The square root of 3434632320 is about 58605.7362380168. The cubic root of 3434632320 is about 1508.7828912871.

Adding to 3434632320 its reverse (232364343), we get a palindrome (3666996663).

It can be divided in two parts, 34346 and 32320, that added together give a palindrome (66666).

The spelling of 3434632320 in words is "three billion, four hundred thirty-four million, six hundred thirty-two thousand, three hundred twenty".