3493323288 has 576 divisors, whose sum is σ = 12789504000. Its totient is φ = 891596160.

The previous prime is 3493323263. The next prime is 3493323293. The reversal of 3493323288 is 8823233943.

3493323288 is a `hidden beast` number, since 3 + 49 + 3 + 323 + 288 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112687833 + ... + 112687863.

It is an arithmetic number, because the mean of its divisors is an integer number (22204000).

Almost surely, 2^3493323288 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 3493323288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394752000).

3493323288 is an abundant number, since it is smaller than the sum of its proper divisors (9296180712).

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

3493323288 is a wasteful number, since it uses less digits than its factorization.

3493323288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 56 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3493323288 is about 59104.3423785427. The cubic root of 3493323288 is about 1517.3284223303.

The spelling of 3493323288 in words is "three billion, four hundred ninety-three million, three hundred twenty-three thousand, two hundred eighty-eight".