3400520402500 has 135 divisors (see below), whose sum is σ = 8055118698627. Its totient is φ = 1255134192000.

The previous prime is 3400520402479. The next prime is 3400520402509. The reversal of 3400520402500 is 52040250043.

The square root of 3400520402500 is 1844050.

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

It can be written as a sum of positive squares in 22 ways, for example, as 291476892996 + 3109043509504 = 539886^2 + 1763248^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3400520402509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1198631082 + ... + 1198633918.

Almost surely, 2^{3400520402500} is an apocalyptic number.

3400520402500 is the 1844050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400520402500

3400520402500 is an abundant number, since it is smaller than the sum of its proper divisors (4654598296127).

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

3400520402500 is an frugal number, since it uses more digits than its factorization.

3400520402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Multiplying 3400520402500 by its sum of digits (25), we get a square (85013010062500 = 9220250²).

3400520402500 divided by its sum of digits (25) gives a square (136020816100 = 368810²).

Adding to 3400520402500 its reverse (52040250043), we get a palindrome (3452560652543).

The spelling of 3400520402500 in words is "three trillion, four hundred billion, five hundred twenty million, four hundred two thousand, five hundred".