3400131120 has 80 divisors (see below), whose sum is σ = 10556845152. Its totient is φ = 905287680.

The previous prime is 3400131113. The next prime is 3400131127. The reversal of 3400131120 is 211310043.

It is an interprime number because it is at equal distance from previous prime (3400131113) and next prime (3400131127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3400131120.

It is not an unprimeable number, because it can be changed into a prime (3400131127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147924 + ... + 169356.

Almost surely, 2^3400131120 is an apocalyptic number.

3400131120 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 3400131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278422576).

3400131120 is an abundant number, since it is smaller than the sum of its proper divisors (7156714032).

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

3400131120 is a wasteful number, since it uses less digits than its factorization.

3400131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22110 (or 22104 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3400131120 is about 58310.6432823374. The cubic root of 3400131120 is about 1503.7139258031.

Adding to 3400131120 its reverse (211310043), we get a palindrome (3611441163).

The spelling of 3400131120 in words is "three billion, four hundred million, one hundred thirty-one thousand, one hundred twenty".