34393872240 has 640 divisors, whose sum is σ = 148823808000. Its totient is φ = 7254696960.

The previous prime is 34393872217. The next prime is 34393872251. The reversal of 34393872240 is 4227839343.

34393872240 is a `hidden beast` number, since 3 + 43 + 9 + 387 + 224 + 0 = 666.

It is a super-2 number, since 2×34393872240² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9629655 + ... + 9633225.

It is an arithmetic number, because the mean of its divisors is an integer number (232537200).

Almost surely, 2^34393872240 is an apocalyptic number.

34393872240 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 34393872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74411904000).

34393872240 is an abundant number, since it is smaller than the sum of its proper divisors (114429935760).

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

34393872240 is a wasteful number, since it uses less digits than its factorization.

34393872240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34393872240 in words is "thirty-four billion, three hundred ninety-three million, eight hundred seventy-two thousand, two hundred forty".