3488765364 has 192 divisors, whose sum is σ = 10990425600. Its totient is φ = 934281216.

The previous prime is 3488765359. The next prime is 3488765387. The reversal of 3488765364 is 4635678843.

3488765364 is a `hidden beast` number, since 34 + 8 + 8 + 76 + 536 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3488765364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4536372 + ... + 4537140.

It is an arithmetic number, because the mean of its divisors is an integer number (57241800).

Almost surely, 2^3488765364 is an apocalyptic number.

3488765364 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3488765364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495212800).

3488765364 is an abundant number, since it is smaller than the sum of its proper divisors (7501660236).

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

3488765364 is a wasteful number, since it uses less digits than its factorization.

3488765364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3488765364 is about 59065.7715093945. The cubic root of 3488765364 is about 1516.6682221831.

The spelling of 3488765364 in words is "three billion, four hundred eighty-eight million, seven hundred sixty-five thousand, three hundred sixty-four".