34369350960 has 240 divisors, whose sum is σ = 124123555584. Its totient is φ = 7706569728.

The previous prime is 34369350923. The next prime is 34369350979. The reversal of 34369350960 is 6905396343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 4715479 + ... + 4722761.

Almost surely, 2^34369350960 is an apocalyptic number.

34369350960 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 34369350960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62061777792).

34369350960 is an abundant number, since it is smaller than the sum of its proper divisors (89754204624).

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

34369350960 is a wasteful number, since it uses less digits than its factorization.

34369350960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412 (or 7353 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 48.

The spelling of 34369350960 in words is "thirty-four billion, three hundred sixty-nine million, three hundred fifty thousand, nine hundred sixty".