3395016940 has 144 divisors (see below), whose sum is σ = 8563242240. Its totient is φ = 1126796160.

The previous prime is 3395016899. The next prime is 3395016953. The reversal of 3395016940 is 496105933.

It is a super-2 number, since 2×3395016940² = 23052280045773927200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3395016893 and 3395016902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4104807 + ... + 4105633.

It is an arithmetic number, because the mean of its divisors is an integer number (59466960).

Almost surely, 2^3395016940 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 3395016940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281621120).

3395016940 is an abundant number, since it is smaller than the sum of its proper divisors (5168225300).

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

3395016940 is a wasteful number, since it uses less digits than its factorization.

3395016940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 3395016940 is about 58266.7738938754. The cubic root of 3395016940 is about 1502.9596291488.

The spelling of 3395016940 in words is "three billion, three hundred ninety-five million, sixteen thousand, nine hundred forty".