34557661540 has 48 divisors (see below), whose sum is σ = 77028159600. Its totient is φ = 12978081792.

The previous prime is 34557661519. The next prime is 34557661549. The reversal of 34557661540 is 4516675543.

It can be written as a sum of positive squares in 8 ways, for example, as 338724 + 34557322816 = 582^2 + 185896^2 .

It is a super-2 number, since 2×34557661540² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34557661549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14806 + ... + 263314.

It is an arithmetic number, because the mean of its divisors is an integer number (1604753325).

Almost surely, 2^34557661540 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 34557661540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38514079800).

34557661540 is an abundant number, since it is smaller than the sum of its proper divisors (42470498060).

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

34557661540 is a wasteful number, since it uses less digits than its factorization.

34557661540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248944 (or 248942 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 34557661540 in words is "thirty-four billion, five hundred fifty-seven million, six hundred sixty-one thousand, five hundred forty".