3393003479040 has 1344 divisors, whose sum is σ = 14224412617920. Its totient is φ = 774540361728.

The previous prime is 3393003479027. The next prime is 3393003479059. The reversal of 3393003479040 is 409743003933.

3393003479040 is a `hidden beast` number, since 339 + 300 + 3 + 4 + 7 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 4389396094 + ... + 4389396866.

Almost surely, 2^{3393003479040} is an apocalyptic number.

3393003479040 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 3393003479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112206308960).

3393003479040 is an abundant number, since it is smaller than the sum of its proper divisors (10831409138880).

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

3393003479040 is an frugal number, since it uses more digits than its factorization.

3393003479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 3393003479040 in words is "three trillion, three hundred ninety-three billion, three million, four hundred seventy-nine thousand, forty".