3479985600 has 672 divisors, whose sum is σ = 14561734656. Its totient is φ = 707788800.

The previous prime is 3479985599. The next prime is 3479985601. The reversal of 3479985600 is 65899743.

It is an interprime number because it is at equal distance from previous prime (3479985599) and next prime (3479985601).

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

It is a super-2 number, since 2×3479985600² = 24220599552414720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3479985601) 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 95 ways as a sum of consecutive naturals, for example, 13540672 + ... + 13540928.

It is an arithmetic number, because the mean of its divisors is an integer number (21669248).

Almost surely, 2^3479985600 is an apocalyptic number.

3479985600 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 3479985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280867328).

3479985600 is an abundant number, since it is smaller than the sum of its proper divisors (11081749056).

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

3479985600 is a wasteful number, since it uses less digits than its factorization.

3479985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 3479985600 is about 58991.4027634536. The cubic root of 3479985600 is about 1515.3948801294.

The spelling of 3479985600 in words is "three billion, four hundred seventy-nine million, nine hundred eighty-five thousand, six hundred".