34689669120 has 384 divisors, whose sum is σ = 124913880000. Its totient is φ = 9244606464.

The previous prime is 34689669097. The next prime is 34689669151. The reversal of 34689669120 is 2196698643.

34689669120 is a `hidden beast` number, since 3 + 468 + 96 + 6 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22394106 + ... + 22395654.

Almost surely, 2^34689669120 is an apocalyptic number.

34689669120 is a gapful number since it is divisible by the number (30) 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 34689669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62456940000).

34689669120 is an abundant number, since it is smaller than the sum of its proper divisors (90224210880).

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

34689669120 is an frugal number, since it uses more digits than its factorization.

34689669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 34689669120 in words is "thirty-four billion, six hundred eighty-nine million, six hundred sixty-nine thousand, one hundred twenty".