3403302768 has 120 divisors (see below), whose sum is σ = 9779552640. Its totient is φ = 1104243840.

The previous prime is 3403302761. The next prime is 3403302787. The reversal of 3403302768 is 8672033043.

3403302768 is a `hidden beast` number, since 340 + 3 + 302 + 7 + 6 + 8 = 666.

3403302768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403302761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2222163 + ... + 2223693.

It is an arithmetic number, because the mean of its divisors is an integer number (81496272).

Almost surely, 2^3403302768 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 3403302768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889776320).

3403302768 is an abundant number, since it is smaller than the sum of its proper divisors (6376249872).

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

3403302768 is a wasteful number, since it uses less digits than its factorization.

3403302768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3403302768 is about 58337.8330759722. The cubic root of 3403302768 is about 1504.1813361218.

The spelling of 3403302768 in words is "three billion, four hundred three million, three hundred two thousand, seven hundred sixty-eight".