3488400000 has 768 divisors, whose sum is σ = 14342832000. Its totient is φ = 829440000.

The previous prime is 3488399977. The next prime is 3488400011. The reversal of 3488400000 is 48843.

It is a super-3 number, since 3×3488400000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183599991 + ... + 183600009.

Almost surely, 2^3488400000 is an apocalyptic number.

3488400000 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 3488400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171416000).

3488400000 is an abundant number, since it is smaller than the sum of its proper divisors (10854432000).

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

3488400000 is an equidigital number, since it uses as much as digits as its factorization.

3488400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

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

The square root of 3488400000 is about 59062.6785711586. The cubic root of 3488400000 is about 1516.6152755333.

Adding to 3488400000 its reverse (48843), we get a palindrome (3488448843).

The spelling of 3488400000 in words is "three billion, four hundred eighty-eight million, four hundred thousand".