3413263640004 has 63 divisors (see below), whose sum is σ = 8955981973533. Its totient is φ = 1137721291632.

The previous prime is 3413263639997. The next prime is 3413263640021. The reversal of 3413263640004 is 4000463623143.

The square root of 3413263640004 is 1847502.

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

3413263640004 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 2 + 6 + 3 + 640 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2992519412100 + 420744227904 = 1729890^2 + 648648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 99748002 + ... + 99782214.

Almost surely, 2^{3413263640004} is an apocalyptic number.

3413263640004 is the 1847502-nd square number.

It is an amenable number.

3413263640004 is an abundant number, since it is smaller than the sum of its proper divisors (5542718333529).

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

3413263640004 is an frugal number, since it uses more digits than its factorization.

3413263640004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68448 (or 34218 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Multiplying 3413263640004 by its sum of digits (36), we get a square (122877491040144 = 11085012²).

3413263640004 divided by its sum of digits (36) gives a square (94812878889 = 307917²).

The spelling of 3413263640004 in words is "three trillion, four hundred thirteen billion, two hundred sixty-three million, six hundred forty thousand, four".