3353256604140 has 192 divisors, whose sum is σ = 9586175195520. Its totient is φ = 875576770560.

The previous prime is 3353256604099. The next prime is 3353256604141. The reversal of 3353256604140 is 414066523533.

It is a super-2 number, since 2×3353256604140² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3353256604092 and 3353256604101.

It is not an unprimeable number, because it can be changed into a prime (3353256604141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806650942 + ... + 806655098.

It is an arithmetic number, because the mean of its divisors is an integer number (49927995810).

Almost surely, 2^{3353256604140} is an apocalyptic number.

3353256604140 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 3353256604140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793087597760).

3353256604140 is an abundant number, since it is smaller than the sum of its proper divisors (6232918591380).

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

3353256604140 is a wasteful number, since it uses less digits than its factorization.

3353256604140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 3353256604140 in words is "three trillion, three hundred fifty-three billion, two hundred fifty-six million, six hundred four thousand, one hundred forty".