34030142400 has 168 divisors, whose sum is σ = 112464342000. Its totient is φ = 9008291840.

The previous prime is 34030142381. The next prime is 34030142429. The reversal of 34030142400 is 424103043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631726 + ... + 683474.

Almost surely, 2^34030142400 is an apocalyptic number.

34030142400 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 34030142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56232171000).

34030142400 is an abundant number, since it is smaller than the sum of its proper divisors (78434199600).

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

34030142400 is a wasteful number, since it uses less digits than its factorization.

34030142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51911 (or 51896 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34030142400 its reverse (424103043), we get a palindrome (34454245443).

The spelling of 34030142400 in words is "thirty-four billion, thirty million, one hundred forty-two thousand, four hundred".