3478987200 has 336 divisors, whose sum is σ = 12416983040. Its totient is φ = 847687680.

The previous prime is 3478987177. The next prime is 3478987217. The reversal of 3478987200 is 27898743.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3478987200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7924581 + ... + 7925019.

Almost surely, 2^3478987200 is an apocalyptic number.

3478987200 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 3478987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208491520).

3478987200 is an abundant number, since it is smaller than the sum of its proper divisors (8937995840).

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

3478987200 is a wasteful number, since it uses less digits than its factorization.

3478987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 3478987200 is about 58982.9399063831. The cubic root of 3478987200 is about 1515.2499451465.

The spelling of 3478987200 in words is "three billion, four hundred seventy-eight million, nine hundred eighty-seven thousand, two hundred".