3489293808 has 320 divisors, whose sum is σ = 13449139200. Its totient is φ = 836490240.

The previous prime is 3489293789. The next prime is 3489293827. The reversal of 3489293808 is 8083929843.

It is a happy number.

3489293808 is a `hidden beast` number, since 348 + 9 + 293 + 8 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3489293789) and next prime (3489293827).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428398 + ... + 436466.

It is an arithmetic number, because the mean of its divisors is an integer number (42028560).

Almost surely, 2^3489293808 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 3489293808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724569600).

3489293808 is an abundant number, since it is smaller than the sum of its proper divisors (9959845392).

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

3489293808 is a wasteful number, since it uses less digits than its factorization.

3489293808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3489293808 is about 59070.2446922306. The cubic root of 3489293808 is about 1516.7447949985.

The spelling of 3489293808 in words is "three billion, four hundred eighty-nine million, two hundred ninety-three thousand, eight hundred eight".