3394734400 has 84 divisors (see below), whose sum is σ = 8557069500. Its totient is φ = 1324748800.

The previous prime is 3394734353. The next prime is 3394734467. The reversal of 3394734400 is 44374933.

It can be written as a sum of positive squares in 6 ways, for example, as 337971456 + 3056762944 = 18384^2 + 55288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3394734400.

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 11 ways as a sum of consecutive naturals, for example, 39726 + ... + 91474.

It is an arithmetic number, because the mean of its divisors is an integer number (101869875).

Almost surely, 2^3394734400 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 3394734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278534750).

3394734400 is an abundant number, since it is smaller than the sum of its proper divisors (5162335100).

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

3394734400 is a wasteful number, since it uses less digits than its factorization.

3394734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51812 (or 51797 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The square root of 3394734400 is about 58264.3493055573. The cubic root of 3394734400 is about 1502.9179349048.

The spelling of 3394734400 in words is "three billion, three hundred ninety-four million, seven hundred thirty-four thousand, four hundred".