3400133130 has 192 divisors, whose sum is σ = 9497723040. Its totient is φ = 842268672.

The previous prime is 3400133119. The next prime is 3400133131. The reversal of 3400133130 is 313310043.

3400133130 is a `hidden beast` number, since 3 + 400 + 133 + 130 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2203457481 + 1196675649 = 46941^2 + 34593^2 .

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 (3400133131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13229962 + ... + 13230218.

Almost surely, 2^3400133130 is an apocalyptic number.

3400133130 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 3400133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748861520).

3400133130 is an abundant number, since it is smaller than the sum of its proper divisors (6097589910).

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

3400133130 is a wasteful number, since it uses less digits than its factorization.

3400133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3400133130 is about 58310.6605176103. The cubic root of 3400133130 is about 1503.7142221117.

Adding to 3400133130 its reverse (313310043), we get a palindrome (3713443173).

The spelling of 3400133130 in words is "three billion, four hundred million, one hundred thirty-three thousand, one hundred thirty".