3484848900625 has 45 divisors (see below), whose sum is σ = 4409401329751. Its totient is φ = 2753269112000.

The previous prime is 3484848900619. The next prime is 3484848900649. The reversal of 3484848900625 is 5260098484843.

The square root of 3484848900625 is 1866775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3385331365329 + 99517535296 = 1839927^2 + 315464^2 .

It is not a de Polignac number, because 3484848900625 - 2¹³ = 3484848892433 is a prime.

It is a super-2 number, since 2×3484848900625² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4153573956 + ... + 4153574794.

Almost surely, 2^{3484848900625} is an apocalyptic number.

3484848900625 is the 1866775-th square number.

3484848900625 is the 933388-th centered octagonal number.

It is an amenable number.

3484848900625 is a deficient number, since it is larger than the sum of its proper divisors (924552429126).

3484848900625 is an frugal number, since it uses more digits than its factorization.

3484848900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 61.

The spelling of 3484848900625 in words is "three trillion, four hundred eighty-four billion, eight hundred forty-eight million, nine hundred thousand, six hundred twenty-five".