34483201536 has 640 divisors, whose sum is σ = 118792396800. Its totient is φ = 8661565440.

The previous prime is 34483201481. The next prime is 34483201553. The reversal of 34483201536 is 63510238443.

It is a junction number, because it is equal to n+sod(n) for n = 34483201494 and 34483201503.

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, 192643495 + ... + 192643673.

It is an arithmetic number, because the mean of its divisors is an integer number (185613120).

Almost surely, 2^34483201536 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 34483201536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59396198400).

34483201536 is an abundant number, since it is smaller than the sum of its proper divisors (84309195264).

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

34483201536 is a wasteful number, since it uses less digits than its factorization.

34483201536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 34483201536 its reverse (63510238443), we get a palindrome (97993439979).

The spelling of 34483201536 in words is "thirty-four billion, four hundred eighty-three million, two hundred one thousand, five hundred thirty-six".