34741042560 has 320 divisors, whose sum is σ = 141791807520. Its totient is φ = 7940726784.

The previous prime is 34741042547. The next prime is 34741042603. The reversal of 34741042560 is 6524014743.

34741042560 is a `hidden beast` number, since 3 + 47 + 4 + 10 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315012 + ... + 410748.

Almost surely, 2^34741042560 is an apocalyptic number.

34741042560 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 34741042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70895903760).

34741042560 is an abundant number, since it is smaller than the sum of its proper divisors (107050764960).

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

34741042560 is an equidigital number, since it uses as much as digits as its factorization.

34741042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95775 (or 95754 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 34741042560 in words is "thirty-four billion, seven hundred forty-one million, forty-two thousand, five hundred sixty".