34050771360 has 384 divisors, whose sum is σ = 125676956160. Its totient is φ = 8593440768.

The previous prime is 34050771353. The next prime is 34050771389. The reversal of 34050771360 is 6317705043.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9636154 + ... + 9639686.

It is an arithmetic number, because the mean of its divisors is an integer number (327283740).

Almost surely, 2^34050771360 is an apocalyptic number.

34050771360 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 34050771360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62838478080).

34050771360 is an abundant number, since it is smaller than the sum of its proper divisors (91626184800).

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

34050771360 is a wasteful number, since it uses less digits than its factorization.

34050771360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 34050771360 in words is "thirty-four billion, fifty million, seven hundred seventy-one thousand, three hundred sixty".