3478294400 has 192 divisors, whose sum is σ = 10023540000. Its totient is φ = 1192181760.

The previous prime is 3478294373. The next prime is 3478294403. The reversal of 3478294400 is 44928743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478294403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096016 + ... + 1099184.

Almost surely, 2^3478294400 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 3478294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011770000).

3478294400 is an abundant number, since it is smaller than the sum of its proper divisors (6545245600).

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

3478294400 is an equidigital number, since it uses as much as digits as its factorization.

3478294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 3478294400 is about 58977.0667293652. The cubic root of 3478294400 is about 1515.1493569779.

The spelling of 3478294400 in words is "three billion, four hundred seventy-eight million, two hundred ninety-four thousand, four hundred".