3430142300400 has 240 divisors, whose sum is σ = 11070741126624. Its totient is φ = 907833507840.

The previous prime is 3430142300363. The next prime is 3430142300401. The reversal of 3430142300400 is 40032410343.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430142300401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85406724 + ... + 85446876.

Almost surely, 2^{3430142300400} is an apocalyptic number.

3430142300400 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 3430142300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535370563312).

3430142300400 is an abundant number, since it is smaller than the sum of its proper divisors (7640598826224).

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

3430142300400 is a wasteful number, since it uses less digits than its factorization.

3430142300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40708 (or 40697 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3430142300400 its reverse (40032410343), we get a palindrome (3470174710743).

The spelling of 3430142300400 in words is "three trillion, four hundred thirty billion, one hundred forty-two million, three hundred thousand, four hundred".