34132562640 has 240 divisors, whose sum is σ = 125261375616. Its totient is φ = 8260531200.

The previous prime is 34132562591. The next prime is 34132562663. The reversal of 34132562640 is 4626523143.

34132562640 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 2 + 5 + 6 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 34132562595 and 34132562604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5120910 + ... + 5127570.

Almost surely, 2^34132562640 is an apocalyptic number.

34132562640 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 34132562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62630687808).

34132562640 is an abundant number, since it is smaller than the sum of its proper divisors (91128812976).

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

34132562640 is a wasteful number, since it uses less digits than its factorization.

34132562640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34132562640 in words is "thirty-four billion, one hundred thirty-two million, five hundred sixty-two thousand, six hundred forty".