3464675940496 has 135 divisors (see below), whose sum is σ = 7376712248313. Its totient is φ = 1576054126080.

The previous prime is 3464675940461. The next prime is 3464675940511. The reversal of 3464675940496 is 6940495764643.

The square root of 3464675940496 is 1861364.

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

It can be written as a sum of positive squares in only one way, i.e., 2697412064400 + 767263876096 = 1642380^2 + 875936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3923754871 + ... + 3923755753.

Almost surely, 2^{3464675940496} is an apocalyptic number.

3464675940496 is the 1861364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3464675940496

3464675940496 is an abundant number, since it is smaller than the sum of its proper divisors (3912036307817).

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

3464675940496 is an frugal number, since it uses more digits than its factorization.

3464675940496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 67.

The spelling of 3464675940496 in words is "three trillion, four hundred sixty-four billion, six hundred seventy-five million, nine hundred forty thousand, four hundred ninety-six".