3483690768 has 240 divisors, whose sum is σ = 10659317760. Its totient is φ = 1099308672.

The previous prime is 3483690761. The next prime is 3483690773. The reversal of 3483690768 is 8670963843.

3483690768 is a `hidden beast` number, since 3 + 483 + 6 + 90 + 76 + 8 = 666.

3483690768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3483690768² = 24272202734096859648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3483690761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14575993 + ... + 14576231.

It is an arithmetic number, because the mean of its divisors is an integer number (44413824).

Almost surely, 2^3483690768 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 3483690768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329658880).

3483690768 is an abundant number, since it is smaller than the sum of its proper divisors (7175626992).

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

3483690768 is a wasteful number, since it uses less digits than its factorization.

3483690768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3483690768 is about 59022.7987137174. The cubic root of 3483690768 is about 1515.9325069796.

The spelling of 3483690768 in words is "three billion, four hundred eighty-three million, six hundred ninety thousand, seven hundred sixty-eight".