3132276400 has 120 divisors (see below), whose sum is σ = 8233848000. Its totient is φ = 1135622400.

The previous prime is 3132276397. The next prime is 3132276409. The reversal of 3132276400 is 46722313.

It is a super-2 number, since 2×3132276400² = 19622310891993920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3132276409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1842751 + ... + 1844449.

It is an arithmetic number, because the mean of its divisors is an integer number (68615400).

Almost surely, 2^3132276400 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 3132276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116924000).

3132276400 is an abundant number, since it is smaller than the sum of its proper divisors (5101571600).

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

3132276400 is a wasteful number, since it uses less digits than its factorization.

3132276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3132276400 is about 55966.7436965918. The cubic root of 3132276400 is about 1463.1427267275.

Adding to 3132276400 its reverse (46722313), we get a palindrome (3178998713).

The spelling of 3132276400 in words is "three billion, one hundred thirty-two million, two hundred seventy-six thousand, four hundred".