3434925312 has 576 divisors, whose sum is σ = 12893224960. Its totient is φ = 877879296.

The previous prime is 3434925289. The next prime is 3434925313. The reversal of 3434925312 is 2135294343.

3434925312 is a `hidden beast` number, since 3 + 4 + 34 + 92 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (3434925313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27046593 + ... + 27046719.

Almost surely, 2^3434925312 is an apocalyptic number.

3434925312 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 3434925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446612480).

3434925312 is an abundant number, since it is smaller than the sum of its proper divisors (9458299648).

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

3434925312 is a wasteful number, since it uses less digits than its factorization.

3434925312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

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

The square root of 3434925312 is about 58608.2358717612. The cubic root of 3434925312 is about 1508.8257924098.

The spelling of 3434925312 in words is "three billion, four hundred thirty-four million, nine hundred twenty-five thousand, three hundred twelve".