3488004000 has 576 divisors, whose sum is σ = 13844507040. Its totient is φ = 825753600.

The previous prime is 3488003989. The next prime is 3488004011. The reversal of 3488004000 is 4008843.

It is an interprime number because it is at equal distance from previous prime (3488003989) and next prime (3488004011).

It can be written as a sum of positive squares in 16 ways, for example, as 15023376 + 3472980624 = 3876^2 + 58932^2 .

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 95 ways as a sum of consecutive naturals, for example, 13571872 + ... + 13572128.

Almost surely, 2^3488004000 is an apocalyptic number.

3488004000 is a gapful number since it is divisible by the number (30) 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 3488004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922253520).

3488004000 is an abundant number, since it is smaller than the sum of its proper divisors (10356503040).

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

3488004000 is a wasteful number, since it uses less digits than its factorization.

3488004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3488004000 is about 59059.3261051970. The cubic root of 3488004000 is about 1516.5578850987.

The spelling of 3488004000 in words is "three billion, four hundred eighty-eight million, four thousand".