34546242640 has 240 divisors, whose sum is σ = 106542212112. Its totient is φ = 10289922048.

The previous prime is 34546242617. The next prime is 34546242659. The reversal of 34546242640 is 4624264543.

It can be written as a sum of positive squares in 8 ways, for example, as 3320525376 + 31225717264 = 57624^2 + 176708^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34546242593 and 34546242602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846382 + ... + 886258.

Almost surely, 2^34546242640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34546242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53271106056).

34546242640 is an abundant number, since it is smaller than the sum of its proper divisors (71995969472).

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

34546242640 is a wasteful number, since it uses less digits than its factorization.

34546242640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39934 (or 39921 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 34546242640 in words is "thirty-four billion, five hundred forty-six million, two hundred forty-two thousand, six hundred forty".