3451123200 has 480 divisors, whose sum is σ = 13419926784. Its totient is φ = 765296640.

The previous prime is 3451123177. The next prime is 3451123201. The reversal of 3451123200 is 23211543.

3451123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3451123201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9945427 + ... + 9945773.

Almost surely, 2^3451123200 is an apocalyptic number.

3451123200 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 3451123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709963392).

3451123200 is an abundant number, since it is smaller than the sum of its proper divisors (9968803584).

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

3451123200 is a wasteful number, since it uses less digits than its factorization.

3451123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3451123200 is about 58746.2611576260. The cubic root of 3451123200 is about 1511.1937696679.

Adding to 3451123200 its reverse (23211543), we get a palindrome (3474334743).

The spelling of 3451123200 in words is "three billion, four hundred fifty-one million, one hundred twenty-three thousand, two hundred".