3390421260600 has 480 divisors, whose sum is σ = 12853631221200. Its totient is φ = 821427609600.

The previous prime is 3390421260593. The next prime is 3390421260647. The reversal of 3390421260600 is 60621240933.

3390421260600 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 4 + 21 + 26 + 0 + 600 = 666.

3390421260600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3390421260600² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 361563112 + ... + 361572488.

Almost surely, 2^{3390421260600} is an apocalyptic number.

3390421260600 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 3390421260600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426815610600).

3390421260600 is an abundant number, since it is smaller than the sum of its proper divisors (9463209960600).

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

3390421260600 is a wasteful number, since it uses less digits than its factorization.

3390421260600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11445 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3390421260600 in words is "three trillion, three hundred ninety billion, four hundred twenty-one million, two hundred sixty thousand, six hundred".