34093264440 has 64 divisors (see below), whose sum is σ = 102660112800. Its totient is φ = 9057731072.

The previous prime is 34093264409. The next prime is 34093264453. The reversal of 34093264440 is 4446239043.

It is a happy number.

It is a super-3 number, since 3×34093264440³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495807 + ... + 560366.

Almost surely, 2^34093264440 is an apocalyptic number.

34093264440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34093264440 is an abundant number, since it is smaller than the sum of its proper divisors (68566848360).

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

34093264440 is a wasteful number, since it uses less digits than its factorization.

34093264440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056456 (or 1056452 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 34093264440 in words is "thirty-four billion, ninety-three million, two hundred sixty-four thousand, four hundred forty".