3434253408 has 144 divisors (see below), whose sum is σ = 10176566400. Its totient is φ = 1097349120.

The previous prime is 3434253359. The next prime is 3434253421. The reversal of 3434253408 is 8043524343.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3434253408² = 23588192940719228928, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 971388 + ... + 974916.

It is an arithmetic number, because the mean of its divisors is an integer number (70670600).

Almost surely, 2^3434253408 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 3434253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088283200).

3434253408 is an abundant number, since it is smaller than the sum of its proper divisors (6742312992).

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

3434253408 is a wasteful number, since it uses less digits than its factorization.

3434253408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3434253408 is about 58602.5034277547. The cubic root of 3434253408 is about 1508.7274057781.

The spelling of 3434253408 in words is "three billion, four hundred thirty-four million, two hundred fifty-three thousand, four hundred eight".