3293053962240 has 768 divisors, whose sum is σ = 12426869145600. Its totient is φ = 728871469056.

The previous prime is 3293053962223. The next prime is 3293053962271. The reversal of 3293053962240 is 422693503923.

3293053962240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3293053962240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980365681 + ... + 980369039.

It is an arithmetic number, because the mean of its divisors is an integer number (16180819200).

Almost surely, 2^{3293053962240} is an apocalyptic number.

3293053962240 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 3293053962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213434572800).

3293053962240 is an abundant number, since it is smaller than the sum of its proper divisors (9133815183360).

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

3293053962240 is a wasteful number, since it uses less digits than its factorization.

3293053962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 3293053962240 in words is "three trillion, two hundred ninety-three billion, fifty-three million, nine hundred sixty-two thousand, two hundred forty".