3360004100 has 72 divisors (see below), whose sum is σ = 7769893320. Its totient is φ = 1256785920.

The previous prime is 3360004093. The next prime is 3360004111. The reversal of 3360004100 is 14000633.

It can be written as a sum of positive squares in 12 ways, for example, as 1530217924 + 1829786176 = 39118^2 + 42776^2 .

It is a super-2 number, since 2×3360004100² = 22579255104033620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260606 + ... + 273194.

It is an arithmetic number, because the mean of its divisors is an integer number (107915185).

Almost surely, 2^3360004100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3360004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884946660).

3360004100 is an abundant number, since it is smaller than the sum of its proper divisors (4409889220).

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

3360004100 is a wasteful number, since it uses less digits than its factorization.

3360004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12777 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3360004100 is about 57965.5423506069. The cubic root of 3360004100 is about 1497.7750866573.

Adding to 3360004100 its reverse (14000633), we get a palindrome (3374004733).

The spelling of 3360004100 in words is "three billion, three hundred sixty million, four thousand, one hundred".