3434314624 has 64 divisors (see below), whose sum is σ = 7389900000. Its totient is φ = 1580378112.

The previous prime is 3434314613. The next prime is 3434314643. The reversal of 3434314624 is 4264134343.

3434314624 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 (64).

It is a super-2 number, since 2×3434314624² = 23589033873240522752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3434314624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594502 + ... + 600250.

Almost surely, 2^3434314624 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 3434314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694950000).

3434314624 is an abundant number, since it is smaller than the sum of its proper divisors (3955585376).

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

3434314624 is a wasteful number, since it uses less digits than its factorization.

3434314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135 (or 6123 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

The square root of 3434314624 is about 58603.0257239334. The cubic root of 3434314624 is about 1508.7363701436.

Adding to 3434314624 its reverse (4264134343), we get a palindrome (7698448967).

The spelling of 3434314624 in words is "three billion, four hundred thirty-four million, three hundred fourteen thousand, six hundred twenty-four".