3413958768 has 120 divisors (see below), whose sum is σ = 11036119536. Its totient is φ = 973670400.

The previous prime is 3413958763. The next prime is 3413958773. The reversal of 3413958768 is 8678593143.

3413958768 is a `hidden beast` number, since 3 + 413 + 95 + 87 + 68 = 666.

3413958768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3413958763) and next prime (3413958773).

It is a super-2 number, since 2×3413958768² = 23310228939208155648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413958761) 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, 36463 + ... + 90318.

Almost surely, 2^3413958768 is an apocalyptic number.

It is an amenable number.

3413958768 is an abundant number, since it is smaller than the sum of its proper divisors (7622160768).

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

3413958768 is a wasteful number, since it uses less digits than its factorization.

3413958768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126823 (or 126814 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3413958768 is about 58429.0917950981. The cubic root of 3413958768 is about 1505.7496025551.

The spelling of 3413958768 in words is "three billion, four hundred thirteen million, nine hundred fifty-eight thousand, seven hundred sixty-eight".