3000400340 has 72 divisors (see below), whose sum is σ = 7348047840. Its totient is φ = 1026113088.

The previous prime is 3000400309. The next prime is 3000400343. The reversal of 3000400340 is 430040003.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000400343) 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, 406967 + ... + 414273.

It is an arithmetic number, because the mean of its divisors is an integer number (102056220).

Almost surely, 2^3000400340 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 3000400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674023920).

3000400340 is an abundant number, since it is smaller than the sum of its proper divisors (4347647500).

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

3000400340 is a wasteful number, since it uses less digits than its factorization.

3000400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7749 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3000400340 is about 54775.9102160795. The cubic root of 3000400340 is about 1442.3137219198.

Adding to 3000400340 its reverse (430040003), we get a palindrome (3430440343).

The spelling of 3000400340 in words is "three billion, four hundred thousand, three hundred forty".