39435605056 has 63 divisors (see below), whose sum is σ = 79351415973. Its totient is φ = 19445345280.

The previous prime is 39435605023. The next prime is 39435605057. The reversal of 39435605056 is 65050653493.

It is a happy number.

The square root of 39435605056 is 198584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29658350656 + 9777254400 = 172216^2 + 98880^2 .

It is a super-2 number, since 2×39435605056² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39435604997 and 39435605015.

It is not an unprimeable number, because it can be changed into a prime (39435605057) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 163633096 + ... + 163633336.

Almost surely, 2^39435605056 is an apocalyptic number.

39435605056 is the 198584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39435605056

39435605056 is an abundant number, since it is smaller than the sum of its proper divisors (39915810917).

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

39435605056 is an frugal number, since it uses more digits than its factorization.

39435605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 46.

The spelling of 39435605056 in words is "thirty-nine billion, four hundred thirty-five million, six hundred five thousand, fifty-six".