3479716800 has 672 divisors, whose sum is σ = 14936663040. Its totient is φ = 771379200.

The previous prime is 3479716787. The next prime is 3479716811. The reversal of 3479716800 is 86179743.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11188645 + ... + 11188955.

Almost surely, 2^3479716800 is an apocalyptic number.

3479716800 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 3479716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468331520).

3479716800 is an abundant number, since it is smaller than the sum of its proper divisors (11456946240).

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

3479716800 is a wasteful number, since it uses less digits than its factorization.

3479716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3479716800 is about 58989.1244213711. The cubic root of 3479716800 is about 1515.3558618998.

The spelling of 3479716800 in words is "three billion, four hundred seventy-nine million, seven hundred sixteen thousand, eight hundred".