3395643236640 has 576 divisors, whose sum is σ = 12226517581824. Its totient is φ = 889840401408.

The previous prime is 3395643236591. The next prime is 3395643236663. The reversal of 3395643236640 is 466323465933.

3395643236640 is a `hidden beast` number, since 3 + 3 + 9 + 564 + 3 + 2 + 36 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528337107 + ... + 528343533.

It is an arithmetic number, because the mean of its divisors is an integer number (21226593024).

Almost surely, 2^{3395643236640} is an apocalyptic number.

3395643236640 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 3395643236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113258790912).

3395643236640 is an abundant number, since it is smaller than the sum of its proper divisors (8830874345184).

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

3395643236640 is a wasteful number, since it uses less digits than its factorization.

3395643236640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 54.

The spelling of 3395643236640 in words is "three trillion, three hundred ninety-five billion, six hundred forty-three million, two hundred thirty-six thousand, six hundred forty".