3489792768 has 576 divisors, whose sum is σ = 13186252800. Its totient is φ = 884183040.

The previous prime is 3489792743. The next prime is 3489792769. The reversal of 3489792768 is 8672979843.

3489792768 is a `hidden beast` number, since 3 + 489 + 7 + 92 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3489792769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42045655 + ... + 42045737.

It is an arithmetic number, because the mean of its divisors is an integer number (22892800).

Almost surely, 2^3489792768 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 3489792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593126400).

3489792768 is an abundant number, since it is smaller than the sum of its proper divisors (9696460032).

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

3489792768 is a wasteful number, since it uses less digits than its factorization.

3489792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The square root of 3489792768 is about 59074.4679874478. The cubic root of 3489792768 is about 1516.8170884151.

The spelling of 3489792768 in words is "three billion, four hundred eighty-nine million, seven hundred ninety-two thousand, seven hundred sixty-eight".