3393427050720 has 720 divisors, whose sum is σ = 13958127081360. Its totient is φ = 774143225856.

The previous prime is 3393427050679. The next prime is 3393427050763. The reversal of 3393427050720 is 270507243933.

3393427050720 is a `hidden beast` number, since 3 + 39 + 3 + 42 + 70 + 507 + 2 + 0 = 666.

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

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 347361996 + ... + 347371764.

It is an arithmetic number, because the mean of its divisors is an integer number (19386287613).

Almost surely, 2^{3393427050720} is an apocalyptic number.

3393427050720 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 3393427050720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979063540680).

3393427050720 is an abundant number, since it is smaller than the sum of its proper divisors (10564700030640).

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

3393427050720 is a wasteful number, since it uses less digits than its factorization.

3393427050720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10357 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 3393427050720 in words is "three trillion, three hundred ninety-three billion, four hundred twenty-seven million, fifty thousand, seven hundred twenty".