34273704960 has 660 divisors, whose sum is σ = 135195490584. Its totient is φ = 8296611840.

The previous prime is 34273704953. The next prime is 34273704961. The reversal of 34273704960 is 6940737243.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34273704961) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50180779 + ... + 50181461.

Almost surely, 2^34273704960 is an apocalyptic number.

34273704960 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 34273704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67597745292).

34273704960 is an abundant number, since it is smaller than the sum of its proper divisors (100921785624).

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

34273704960 is a wasteful number, since it uses less digits than its factorization.

34273704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 34273704960 in words is "thirty-four billion, two hundred seventy-three million, seven hundred four thousand, nine hundred sixty".