3454542400 has 84 divisors (see below), whose sum is σ = 8512423920. Its totient is φ = 1379852800.

The previous prime is 3454542391. The next prime is 3454542433. The reversal of 3454542400 is 42454543.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1744611 + ... + 1746589.

It is an arithmetic number, because the mean of its divisors is an integer number (101338380).

Almost surely, 2^3454542400 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 3454542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256211960).

3454542400 is an abundant number, since it is smaller than the sum of its proper divisors (5057881520).

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

3454542400 is a wasteful number, since it uses less digits than its factorization.

3454542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The square root of 3454542400 is about 58775.3553796147. The cubic root of 3454542400 is about 1511.6926766372.

Adding to 3454542400 its reverse (42454543), we get a palindrome (3496996943).

The spelling of 3454542400 in words is "three billion, four hundred fifty-four million, five hundred forty-two thousand, four hundred".