3478464000 has 800 divisors, whose sum is σ = 14366750112. Its totient is φ = 829440000.

The previous prime is 3478463999. The next prime is 3478464049. The reversal of 3478464000 is 4648743.

3478464000 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57023970 + ... + 57024030.

Almost surely, 2^3478464000 is an apocalyptic number.

3478464000 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 3478464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183375056).

3478464000 is an abundant number, since it is smaller than the sum of its proper divisors (10888286112).

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

3478464000 is an equidigital number, since it uses as much as digits as its factorization.

3478464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3478464000 is about 58978.5045588645. The cubic root of 3478464000 is about 1515.1739825679.

The spelling of 3478464000 in words is "three billion, four hundred seventy-eight million, four hundred sixty-four thousand".