3478118400 has 672 divisors, whose sum is σ = 13895405280. Its totient is φ = 849346560.

The previous prime is 3478118333. The next prime is 3478118453. The reversal of 3478118400 is 48118743.

3478118400 is a `hidden beast` number, since 3 + 478 + 1 + 184 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 94003182 + ... + 94003218.

Almost surely, 2^3478118400 is an apocalyptic number.

3478118400 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 3478118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947702640).

3478118400 is an abundant number, since it is smaller than the sum of its proper divisors (10417286880).

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

3478118400 is a wasteful number, since it uses less digits than its factorization.

3478118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3478118400 is about 58975.5746050855. The cubic root of 3478118400 is about 1515.1238012741.

The spelling of 3478118400 in words is "three billion, four hundred seventy-eight million, one hundred eighteen thousand, four hundred".