3495965062500 has 441 divisors, whose sum is σ = 11507285458767. Its totient is φ = 928891800000.

The previous prime is 3495965062489. The next prime is 3495965062561. The reversal of 3495965062500 is 52605695943.

It is a happy number.

The square root of 3495965062500 is 1869750.

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

3495965062500 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 9 + 6 + 5 + 0 + 625 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1756478403684 + 1739486658816 = 1325322^2 + 1318896^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 12620812362 + ... + 12620812638.

Almost surely, 2^{3495965062500} is an apocalyptic number.

3495965062500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3495965062500 is the 1869750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3495965062500

3495965062500 is an abundant number, since it is smaller than the sum of its proper divisors (8011320396267).

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

3495965062500 is an frugal number, since it uses more digits than its factorization.

3495965062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 3495965062500 in words is "three trillion, four hundred ninety-five billion, nine hundred sixty-five million, sixty-two thousand, five hundred".