3395314238976 has 360 divisors, whose sum is σ = 11142383091840. Its totient is φ = 993399644160.

The previous prime is 3395314238957. The next prime is 3395314238989. The reversal of 3395314238976 is 6798324135933.

3395314238976 is a `hidden beast` number, since 3 + 3 + 9 + 531 + 4 + 2 + 3 + 8 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16064481 + ... + 16274463.

It is an arithmetic number, because the mean of its divisors is an integer number (30951064144).

Almost surely, 2^{3395314238976} is an apocalyptic number.

3395314238976 is a gapful number since it is divisible by the number (36) 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 3395314238976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571191545920).

3395314238976 is an abundant number, since it is smaller than the sum of its proper divisors (7747068852864).

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

3395314238976 is a wasteful number, since it uses less digits than its factorization.

3395314238976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210058 (or 210028 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 3395314238976 in words is "three trillion, three hundred ninety-five billion, three hundred fourteen million, two hundred thirty-eight thousand, nine hundred seventy-six".