34807069440 has 576 divisors, whose sum is σ = 145131194880. Its totient is φ = 7787888640.

The previous prime is 34807069393. The next prime is 34807069447. The reversal of 34807069440 is 4496070843.

34807069440 is a `hidden beast` number, since 3 + 4 + 80 + 70 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (34807069447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4938559 + ... + 4945601.

It is an arithmetic number, because the mean of its divisors is an integer number (251963880).

Almost surely, 2^34807069440 is an apocalyptic number.

34807069440 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 34807069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72565597440).

34807069440 is an abundant number, since it is smaller than the sum of its proper divisors (110324125440).

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

34807069440 is a wasteful number, since it uses less digits than its factorization.

34807069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7097 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34807069440 in words is "thirty-four billion, eight hundred seven million, sixty-nine thousand, four hundred forty".