34431203400 has 576 divisors, whose sum is σ = 125174280000. Its totient is φ = 7800883200.

The previous prime is 34431203393. The next prime is 34431203447. The reversal of 34431203400 is 430213443.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150354486 + ... + 150354714.

Almost surely, 2^34431203400 is an apocalyptic number.

34431203400 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 34431203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62587140000).

34431203400 is an abundant number, since it is smaller than the sum of its proper divisors (90743076600).

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

34431203400 is a wasteful number, since it uses less digits than its factorization.

34431203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

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

Adding to 34431203400 its reverse (430213443), we get a palindrome (34861416843).

The spelling of 34431203400 in words is "thirty-four billion, four hundred thirty-one million, two hundred three thousand, four hundred".