34458691440 has 80 divisors (see below), whose sum is σ = 107301132288. Its totient is φ = 9147763968.

The previous prime is 34458691439. The next prime is 34458691451. The reversal of 34458691440 is 4419685443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34458691440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268404 + ... + 375443.

Almost surely, 2^34458691440 is an apocalyptic number.

34458691440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34458691440 is an abundant number, since it is smaller than the sum of its proper divisors (72842440848).

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

34458691440 is a wasteful number, since it uses less digits than its factorization.

34458691440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644086 (or 644080 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 34458691440 in words is "thirty-four billion, four hundred fifty-eight million, six hundred ninety-one thousand, four hundred forty".