3434520960 has 256 divisors, whose sum is σ = 13100472000. Its totient is φ = 845365248.

The previous prime is 3434520899. The next prime is 3434520961. The reversal of 3434520960 is 690254343.

3434520960 is a `hidden beast` number, since 3 + 43 + 4 + 520 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434520961) 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 31 ways as a sum of consecutive naturals, for example, 216996 + ... + 232284.

Almost surely, 2^3434520960 is an apocalyptic number.

3434520960 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 3434520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550236000).

3434520960 is an abundant number, since it is smaller than the sum of its proper divisors (9665951040).

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

3434520960 is a wasteful number, since it uses less digits than its factorization.

3434520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330 (or 15312 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3434520960 is about 58604.7861526685. The cubic root of 3434520960 is about 1508.7665848470.

The spelling of 3434520960 in words is "three billion, four hundred thirty-four million, five hundred twenty thousand, nine hundred sixty".