3340254303360 has 384 divisors, whose sum is σ = 12429528798960. Its totient is φ = 821689712640.

The previous prime is 3340254303341. The next prime is 3340254303431. The reversal of 3340254303360 is 633034520433.

3340254303360 is a `hidden beast` number, since 3 + 3 + 40 + 254 + 3 + 0 + 3 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1680300357696 + 1659953945664 = 1296264^2 + 1288392^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3340254303360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124062700 + ... + 124089620.

Almost surely, 2^{3340254303360} is an apocalyptic number.

3340254303360 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 3340254303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214764399480).

3340254303360 is an abundant number, since it is smaller than the sum of its proper divisors (9089274495600).

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

3340254303360 is a wasteful number, since it uses less digits than its factorization.

3340254303360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28616 (or 28601 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 3340254303360 its reverse (633034520433), we get a palindrome (3973288823793).

The spelling of 3340254303360 in words is "three trillion, three hundred forty billion, two hundred fifty-four million, three hundred three thousand, three hundred sixty".