3388002408000 has 672 divisors, whose sum is σ = 13861738096128. Its totient is φ = 773789184000.

The previous prime is 3388002407963. The next prime is 3388002408001. The reversal of 3388002408000 is 8042008833.

It is a happy number.

3388002408000 is a `hidden beast` number, since 338 + 8 + 0 + 0 + 240 + 80 + 0 + 0 = 666.

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

It is a super-2 number, since 2×3388002408000² (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 not an unprimeable number, because it can be changed into a prime (3388002408001) 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, 1051846390 + ... + 1051849610.

Almost surely, 2^{3388002408000} is an apocalyptic number.

3388002408000 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 3388002408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930869048064).

3388002408000 is an abundant number, since it is smaller than the sum of its proper divisors (10473735688128).

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

3388002408000 is a wasteful number, since it uses less digits than its factorization.

3388002408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3388002408000 in words is "three trillion, three hundred eighty-eight billion, two million, four hundred eight thousand".