3100406400 has 864 divisors, whose sum is σ = 13941099900. Its totient is φ = 654151680.

The previous prime is 3100406389. The next prime is 3100406401. The reversal of 3100406400 is 46040013.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 335329344 + 2765077056 = 18312^2 + 52584^2 .

It is a super-2 number, since 2×3100406400² = 19225039690321920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3100406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 238492794 + ... + 238492806.

Almost surely, 2^3100406400 is an apocalyptic number.

3100406400 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 3100406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970549950).

3100406400 is an abundant number, since it is smaller than the sum of its proper divisors (10840693500).

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

3100406400 is a wasteful number, since it uses less digits than its factorization.

3100406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3100406400 is about 55681.2930884332. The cubic root of 3100406400 is about 1458.1634504331.

Adding to 3100406400 its reverse (46040013), we get a palindrome (3146446413).

The spelling of 3100406400 in words is "three billion, one hundred million, four hundred six thousand, four hundred".