34100637648 has 320 divisors, whose sum is σ = 112492800000. Its totient is φ = 8645345280.

The previous prime is 34100637643. The next prime is 34100637661. The reversal of 34100637648 is 84673600143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100637643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27301728 + ... + 27302976.

It is an arithmetic number, because the mean of its divisors is an integer number (351540000).

Almost surely, 2^34100637648 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 34100637648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400000).

34100637648 is an abundant number, since it is smaller than the sum of its proper divisors (78392162352).

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

34100637648 is a wasteful number, since it uses less digits than its factorization.

34100637648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 34100637648 in words is "thirty-four billion, one hundred million, six hundred thirty-seven thousand, six hundred forty-eight".