34691121144 has 144 divisors (see below), whose sum is σ = 98625533760. Its totient is φ = 11004595200.

The previous prime is 34691121119. The next prime is 34691121151. The reversal of 34691121144 is 44112119643.

34691121144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34691121099 and 34691121108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8303184 + ... + 8307360.

It is an arithmetic number, because the mean of its divisors is an integer number (684899540).

Almost surely, 2^34691121144 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 34691121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49312766880).

34691121144 is an abundant number, since it is smaller than the sum of its proper divisors (63934412616).

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

34691121144 is a wasteful number, since it uses less digits than its factorization.

34691121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4274 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 34691121144 in words is "thirty-four billion, six hundred ninety-one million, one hundred twenty-one thousand, one hundred forty-four".