3454144000 has 160 divisors (see below), whose sum is σ = 8896073472. Its totient is φ = 1336320000.

The previous prime is 3454143983. The next prime is 3454144003. The reversal of 3454144000 is 4414543.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3454144000² = 23862221545472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454144003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983130 + ... + 1984870.

Almost surely, 2^3454144000 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 3454144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448036736).

3454144000 is an abundant number, since it is smaller than the sum of its proper divisors (5441929472).

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

3454144000 is an equidigital number, since it uses as much as digits as its factorization.

3454144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 3454144000 is about 58771.9661062994. The cubic root of 3454144000 is about 1511.6345617027.

Adding to 3454144000 its reverse (4414543), we get a palindrome (3458558543).

The spelling of 3454144000 in words is "three billion, four hundred fifty-four million, one hundred forty-four thousand".