3394280653456 has 240 divisors, whose sum is σ = 8737433893440. Its totient is φ = 1261453992960.

The previous prime is 3394280653397. The next prime is 3394280653459. The reversal of 3394280653456 is 6543560824933.

It is a super-2 number, since 2×3394280653456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 3394280653456.

It is not an unprimeable number, because it can be changed into a prime (3394280653459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20676210 + ... + 20839726.

It is an arithmetic number, because the mean of its divisors is an integer number (36405974556).

Almost surely, 2^{3394280653456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394280653456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368716946720).

3394280653456 is an abundant number, since it is smaller than the sum of its proper divisors (5343153239984).

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

3394280653456 is a wasteful number, since it uses less digits than its factorization.

3394280653456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163662 (or 163649 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 58.

The spelling of 3394280653456 in words is "three trillion, three hundred ninety-four billion, two hundred eighty million, six hundred fifty-three thousand, four hundred fifty-six".