3395667258240 has 256 divisors, whose sum is σ = 11569761100800. Its totient is φ = 845015367680.

The previous prime is 3395667258169. The next prime is 3395667258253. The reversal of 3395667258240 is 428527665933.

It is a super-2 number, since 2×3395667258240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 872821 + ... + 2748299.

It is an arithmetic number, because the mean of its divisors is an integer number (45194379300).

Almost surely, 2^{3395667258240} is an apocalyptic number.

3395667258240 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 3395667258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784880550400).

3395667258240 is an abundant number, since it is smaller than the sum of its proper divisors (8174093842560).

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

3395667258240 is a wasteful number, since it uses less digits than its factorization.

3395667258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875565 (or 1875553 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 3395667258240 in words is "three trillion, three hundred ninety-five billion, six hundred sixty-seven million, two hundred fifty-eight thousand, two hundred forty".