3126451200 has 132 divisors (see below), whose sum is σ = 10333337880. Its totient is φ = 833699840.

The previous prime is 3126451193. The next prime is 3126451201. The reversal of 3126451200 is 21546213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126451201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56446 + ... + 97154.

Almost surely, 2^3126451200 is an apocalyptic number.

3126451200 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 3126451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166668940).

3126451200 is an abundant number, since it is smaller than the sum of its proper divisors (7206886680).

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

3126451200 is a wasteful number, since it uses less digits than its factorization.

3126451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40742 (or 40719 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3126451200 is about 55914.6778583227. The cubic root of 3126451200 is about 1462.2351452593.

Adding to 3126451200 its reverse (21546213), we get a palindrome (3147997413).

The spelling of 3126451200 in words is "three billion, one hundred twenty-six million, four hundred fifty-one thousand, two hundred".