3430014131000 has 128 divisors (see below), whose sum is σ = 8045204843520. Its totient is φ = 1368766800000.

The previous prime is 3430014130973. The next prime is 3430014131009. The reversal of 3430014131000 is 1314100343.

3430014131000 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 2×3430014131000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430014131009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1265219645 + ... + 1265222355.

It is an arithmetic number, because the mean of its divisors is an integer number (62853162840).

Almost surely, 2^{3430014131000} 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 3430014131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022602421760).

3430014131000 is an abundant number, since it is smaller than the sum of its proper divisors (4615190712520).

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

3430014131000 is a wasteful number, since it uses less digits than its factorization.

3430014131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3430014131000 its reverse (1314100343), we get a palindrome (3431328231343).

The spelling of 3430014131000 in words is "three trillion, four hundred thirty billion, fourteen million, one hundred thirty-one thousand".