34105949696 has 320 divisors, whose sum is σ = 89919244800. Its totient is φ = 12546441216.

The previous prime is 34105949693. The next prime is 34105949701. The reversal of 34105949696 is 69694950143.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105949693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52229306 + ... + 52229958.

It is an arithmetic number, because the mean of its divisors is an integer number (280997640).

Almost surely, 2^34105949696 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 34105949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44959622400).

34105949696 is an abundant number, since it is smaller than the sum of its proper divisors (55813295104).

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

34105949696 is a wasteful number, since it uses less digits than its factorization.

34105949696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 56.

The spelling of 34105949696 in words is "thirty-four billion, one hundred five million, nine hundred forty-nine thousand, six hundred ninety-six".