34231357440 has 624 divisors, whose sum is σ = 138983315328. Its totient is φ = 7629963264.

The previous prime is 34231357439. The next prime is 34231357453. The reversal of 34231357440 is 4475313243.

34231357440 is a `hidden beast` number, since 3 + 42 + 3 + 1 + 3 + 574 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34231357395 and 34231357404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55480012 + ... + 55480628.

It is an arithmetic number, because the mean of its divisors is an integer number (222729672).

Almost surely, 2^34231357440 is an apocalyptic number.

34231357440 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 34231357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69491657664).

34231357440 is an abundant number, since it is smaller than the sum of its proper divisors (104751957888).

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

34231357440 is a wasteful number, since it uses less digits than its factorization.

34231357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 34231357440 in words is "thirty-four billion, two hundred thirty-one million, three hundred fifty-seven thousand, four hundred forty".