3486784400 has 180 divisors, whose sum is σ = 9366647892. Its totient is φ = 1246080000.

The previous prime is 3486784393. The next prime is 3486784409. The reversal of 3486784400 is 44876843.

3486784400 is nontrivially palindromic in base 3 and base 9.

3486784400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3²⁰-1.

It can be written as a sum of positive squares in 6 ways, for example, as 133911184 + 3352873216 = 11572^2 + 57904^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

3486784400 is a nontrivial repdigit in base 3 and base 9.

It is a plaindrome in base 3 and base 9.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486784409) by changing a digit.

Being equal to 9×9⁹-1, it is a generalized Woodall number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2951810 + ... + 2952990.

Almost surely, 2^3486784400 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 3486784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683323946).

3486784400 is an abundant number, since it is smaller than the sum of its proper divisors (5879863492).

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

3486784400 is a wasteful number, since it uses less digits than its factorization.

3486784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 3486784400 is about 59048.9999915325. Note that the first 5 decimals coincide. The cubic root of 3486784400 is about 1516.3811068599.

The spelling of 3486784400 in words is "three billion, four hundred eighty-six million, seven hundred eighty-four thousand, four hundred".