3402604630656 has 1792 divisors, whose sum is σ = 13610567635200. Its totient is φ = 819831767040.

The previous prime is 3402604630619. The next prime is 3402604630657. The reversal of 3402604630656 is 6560364062043.

3402604630656 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 6 + 0 + 4 + 630 + 6 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3402604630657) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10870941156 + ... + 10870941468.

Almost surely, 2^{3402604630656} is an apocalyptic number.

3402604630656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402604630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805283817600).

3402604630656 is an abundant number, since it is smaller than the sum of its proper divisors (10207963004544).

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

3402604630656 is a wasteful number, since it uses less digits than its factorization.

3402604630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

Adding to 3402604630656 its reverse (6560364062043), we get a palindrome (9962968692699).

The spelling of 3402604630656 in words is "three trillion, four hundred two billion, six hundred four million, six hundred thirty thousand, six hundred fifty-six".