3400311630 has 128 divisors (see below), whose sum is σ = 8910881280. Its totient is φ = 827504640.

The previous prime is 3400311617. The next prime is 3400311647. The reversal of 3400311630 is 361130043.

3400311630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3400311630² = 23124238362226513800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3400311597 and 3400311606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1938834 + ... + 1940586.

It is an arithmetic number, because the mean of its divisors is an integer number (69616260).

Almost surely, 2^3400311630 is an apocalyptic number.

3400311630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400311630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455440640).

3400311630 is an abundant number, since it is smaller than the sum of its proper divisors (5510569650).

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

3400311630 is a wasteful number, since it uses less digits than its factorization.

3400311630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3400311630 is about 58312.1910924294. The cubic root of 3400311630 is about 1503.7405356198.

Adding to 3400311630 its reverse (361130043), we get a palindrome (3761441673).

The spelling of 3400311630 in words is "three billion, four hundred million, three hundred eleven thousand, six hundred thirty".