34190069760 has 1248 divisors, whose sum is σ = 154782378240. Its totient is φ = 7007109120.

The previous prime is 34190069731. The next prime is 34190069773. The reversal of 34190069760 is 6796009143.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468357084 + ... + 468357156.

Almost surely, 2^34190069760 is an apocalyptic number.

34190069760 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 34190069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77391189120).

34190069760 is an abundant number, since it is smaller than the sum of its proper divisors (120592308480).

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

34190069760 is a wasteful number, since it uses less digits than its factorization.

34190069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 34190069760 in words is "thirty-four billion, one hundred ninety million, sixty-nine thousand, seven hundred sixty".