3438894240 has 144 divisors (see below), whose sum is σ = 12140037000. Its totient is φ = 885405696.

The previous prime is 3438894191. The next prime is 3438894257. The reversal of 3438894240 is 424988343.

3438894240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3037773456 + 401120784 = 55116^2 + 20028^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586 + ... + 82934.

Almost surely, 2^3438894240 is an apocalyptic number.

3438894240 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 3438894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070018500).

3438894240 is an abundant number, since it is smaller than the sum of its proper divisors (8701142760).

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

3438894240 is a wasteful number, since it uses less digits than its factorization.

3438894240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82399 (or 82388 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3438894240 is about 58642.0859110588. The cubic root of 3438894240 is about 1509.4066993587.

The spelling of 3438894240 in words is "three billion, four hundred thirty-eight million, eight hundred ninety-four thousand, two hundred forty".