3467695730625 has 135 divisors (see below), whose sum is σ = 7283063155797. Its totient is φ = 1584785412000.

The previous prime is 3467695730599. The next prime is 3467695730627. The reversal of 3467695730625 is 5260375967643.

The square root of 3467695730625 is 1862175.

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

3467695730625 is a `hidden beast` number, since 3 + 467 + 69 + 57 + 3 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 271867345281 + 3195828385344 = 521409^2 + 1787688^2 .

It is not a de Polignac number, because 3467695730625 - 2⁹ = 3467695730113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3467695730627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 977640102 + ... + 977643648.

Almost surely, 2^{3467695730625} is an apocalyptic number.

3467695730625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3467695730625 is the 1862175-th square number.

3467695730625 is the 931088-th centered octagonal number.

It is an amenable number.

3467695730625 is an abundant number, since it is smaller than the sum of its proper divisors (3815367425172).

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

3467695730625 is an frugal number, since it uses more digits than its factorization.

3467695730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 3467695730625 in words is "three trillion, four hundred sixty-seven billion, six hundred ninety-five million, seven hundred thirty thousand, six hundred twenty-five".