3478104400 has 60 divisors (see below), whose sum is σ = 8366419872. Its totient is φ = 1389531520.

The previous prime is 3478104391. The next prime is 3478104401. The reversal of 3478104400 is 44018743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478104401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 349899 + ... + 359701.

Almost surely, 2^3478104400 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 3478104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183209936).

3478104400 is an abundant number, since it is smaller than the sum of its proper divisors (4888315472).

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

3478104400 is a wasteful number, since it uses less digits than its factorization.

3478104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 3478104400 is about 58975.4559117604. The cubic root of 3478104400 is about 1515.1217683970.

The spelling of 3478104400 in words is "three billion, four hundred seventy-eight million, one hundred four thousand, four hundred".