3451210400 has 216 divisors, whose sum is σ = 9379016892. Its totient is φ = 1239040000.

The previous prime is 3451210397. The next prime is 3451210447. The reversal of 3451210400 is 40121543.

It can be written as a sum of positive squares in 6 ways, for example, as 2081914384 + 1369296016 = 45628^2 + 37004^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9776624 + ... + 9776976.

Almost surely, 2^3451210400 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 3451210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689508446).

3451210400 is an abundant number, since it is smaller than the sum of its proper divisors (5927806492).

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

3451210400 is a wasteful number, since it uses less digits than its factorization.

3451210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3451210400 is about 58747.0033278294. The cubic root of 3451210400 is about 1511.2064974069.

Adding to 3451210400 its reverse (40121543), we get a palindrome (3491331943).

The spelling of 3451210400 in words is "three billion, four hundred fifty-one million, two hundred ten thousand, four hundred".