3421563768 has 240 divisors, whose sum is σ = 11225281320. Its totient is φ = 970849152.

The previous prime is 3421563767. The next prime is 3421563787. The reversal of 3421563768 is 8673651243.

3421563768 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 5 + 637 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (725760) is a multiple of the sum of its prime divisors (756).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421563767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6254871 + ... + 6255417.

Almost surely, 2^3421563768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421563768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612640660).

3421563768 is an abundant number, since it is smaller than the sum of its proper divisors (7803717552).

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

3421563768 is a wasteful number, since it uses less digits than its factorization.

3421563768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 756 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3421563768 is about 58494.1344751762. The cubic root of 3421563768 is about 1506.8668522568.

The spelling of 3421563768 in words is "three billion, four hundred twenty-one million, five hundred sixty-three thousand, seven hundred sixty-eight".