3410784768 has 160 divisors (see below), whose sum is σ = 9400666176. Its totient is φ = 1098252288.

The previous prime is 3410784763. The next prime is 3410784781. The reversal of 3410784768 is 8674870143.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3410784763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7463196 + ... + 7463652.

Almost surely, 2^3410784768 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 3410784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700333088).

3410784768 is an abundant number, since it is smaller than the sum of its proper divisors (5989881408).

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

3410784768 is a wasteful number, since it uses less digits than its factorization.

3410784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 3410784768 is about 58401.9243518568. The cubic root of 3410784768 is about 1505.2828198123.

The spelling of 3410784768 in words is "three billion, four hundred ten million, seven hundred eighty-four thousand, seven hundred sixty-eight".