3641490071856 has 240 divisors, whose sum is σ = 12577864965120. Its totient is φ = 957716559360.

The previous prime is 3641490071851. The next prime is 3641490071881. The reversal of 3641490071856 is 6581700941463.

3641490071856 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 490 + 0 + 71 + 85 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3641490071851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4317301 + ... + 5091371.

It is an arithmetic number, because the mean of its divisors is an integer number (52407770688).

Almost surely, 2^{3641490071856} is an apocalyptic number.

3641490071856 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 3641490071856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288932482560).

3641490071856 is an abundant number, since it is smaller than the sum of its proper divisors (8936374893264).

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

3641490071856 is a wasteful number, since it uses less digits than its factorization.

3641490071856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774464 (or 774455 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3641490071856 in words is "three trillion, six hundred forty-one billion, four hundred ninety million, seventy-one thousand, eight hundred fifty-six".