3393426627360 has 2592 divisors, whose sum is σ = 16071302741760. Its totient is φ = 666195425280.

The previous prime is 3393426627347. The next prime is 3393426627389. The reversal of 3393426627360 is 637266243933.

3393426627360 is a `hidden beast` number, since 3 + 3 + 9 + 3 + 4 + 2 + 6 + 627 + 3 + 6 + 0 = 666.

3393426627360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3393426627297 and 3393426627306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9246393897 + ... + 9246394263.

It is an arithmetic number, because the mean of its divisors is an integer number (6200348280).

Almost surely, 2^{3393426627360} is an apocalyptic number.

3393426627360 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 3393426627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035651370880).

3393426627360 is an abundant number, since it is smaller than the sum of its proper divisors (12677876114400).

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

3393426627360 is a wasteful number, since it uses less digits than its factorization.

3393426627360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 54.

The spelling of 3393426627360 in words is "three trillion, three hundred ninety-three billion, four hundred twenty-six million, six hundred twenty-seven thousand, three hundred sixty".