3479889600 has 420 divisors, whose sum is σ = 13959751608. Its totient is φ = 843264000.

The previous prime is 3479889599. The next prime is 3479889601. The reversal of 3479889600 is 69889743.

3479889600 is a `hidden beast` number, since 3 + 479 + 88 + 96 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3479889599) and next prime (3479889601).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3479889601) 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 59 ways as a sum of consecutive naturals, for example, 1424380 + ... + 1426820.

Almost surely, 2^3479889600 is an apocalyptic number.

3479889600 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 3479889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979875804).

3479889600 is an abundant number, since it is smaller than the sum of its proper divisors (10479862008).

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

3479889600 is a wasteful number, since it uses less digits than its factorization.

3479889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3479889600 is about 58990.5890799541. The cubic root of 3479889600 is about 1515.3809452781.

The spelling of 3479889600 in words is "three billion, four hundred seventy-nine million, eight hundred eighty-nine thousand, six hundred".