3412664640 has 504 divisors, whose sum is σ = 14755977600. Its totient is φ = 708618240.

The previous prime is 3412664621. The next prime is 3412664641. The reversal of 3412664640 is 464662143.

3412664640 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 6 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 3412664595 and 3412664604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412664641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2438661 + ... + 2440059.

Almost surely, 2^3412664640 is an apocalyptic number.

3412664640 is a gapful number since it is divisible by the number (30) 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 3412664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377988800).

3412664640 is an abundant number, since it is smaller than the sum of its proper divisors (11343312960).

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

3412664640 is a wasteful number, since it uses less digits than its factorization.

3412664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3412664640 is about 58418.0163990528. The cubic root of 3412664640 is about 1505.5593172072.

The spelling of 3412664640 in words is "three billion, four hundred twelve million, six hundred sixty-four thousand, six hundred forty".