34406633130432 has 448 divisors, whose sum is σ = 94040389739520. Its totient is φ = 11099275264000.

The previous prime is 34406633130391. The next prime is 34406633130469. The reversal of 34406633130432 is 23403133660443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85802077432 + ... + 85802077832.

It is an arithmetic number, because the mean of its divisors is an integer number (209911584240).

Almost surely, 2^{34406633130432} is an apocalyptic number.

34406633130432 is a gapful number since it is divisible by the number (32) 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 34406633130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47020194869760).

34406633130432 is an abundant number, since it is smaller than the sum of its proper divisors (59633756609088).

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

34406633130432 is a wasteful number, since it uses less digits than its factorization.

34406633130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 42.

Adding to 34406633130432 its reverse (23403133660443), we get a palindrome (57809766790875).

The spelling of 34406633130432 in words is "thirty-four trillion, four hundred six billion, six hundred thirty-three million, one hundred thirty thousand, four hundred thirty-two".