3356793342720 has 720 divisors, whose sum is σ = 12554593615872. Its totient is φ = 854782156800.

The previous prime is 3356793342673. The next prime is 3356793342803. The reversal of 3356793342720 is 272433976533.

3356793342720 is a `hidden beast` number, since 3 + 3 + 567 + 9 + 3 + 3 + 4 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3356793342720² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2744720029 + ... + 2744721251.

Almost surely, 2^{3356793342720} is an apocalyptic number.

3356793342720 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 3356793342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277296807936).

3356793342720 is an abundant number, since it is smaller than the sum of its proper divisors (9197800273152).

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

3356793342720 is a wasteful number, since it uses less digits than its factorization.

3356793342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 54.

The spelling of 3356793342720 in words is "three trillion, three hundred fifty-six billion, seven hundred ninety-three million, three hundred forty-two thousand, seven hundred twenty".