3483308400 has 480 divisors, whose sum is σ = 13391142912. Its totient is φ = 762777600.

The previous prime is 3483308377. The next prime is 3483308461. The reversal of 3483308400 is 48033843.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9094609 + ... + 9094991.

Almost surely, 2^3483308400 is an apocalyptic number.

3483308400 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 3483308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695571456).

3483308400 is an abundant number, since it is smaller than the sum of its proper divisors (9907834512).

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

3483308400 is a wasteful number, since it uses less digits than its factorization.

3483308400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3483308400 is about 59019.5594697216. The cubic root of 3483308400 is about 1515.8770423084.

The spelling of 3483308400 in words is "three billion, four hundred eighty-three million, three hundred eight thousand, four hundred".