3827298359808 has 640 divisors, whose sum is σ = 14413006080000. Its totient is φ = 994089922560.

The previous prime is 3827298359791. The next prime is 3827298359879. The reversal of 3827298359808 is 8089538927283.

3827298359808 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 29 + 8 + 3 + 598 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52121263 + ... + 52194641.

It is an arithmetic number, because the mean of its divisors is an integer number (22520322000).

Almost surely, 2^{3827298359808} 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 3827298359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206503040000).

3827298359808 is an abundant number, since it is smaller than the sum of its proper divisors (10585707720192).

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

3827298359808 is an equidigital number, since it uses as much as digits as its factorization.

3827298359808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73438 (or 73402 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 3827298359808 in words is "three trillion, eight hundred twenty-seven billion, two hundred ninety-eight million, three hundred fifty-nine thousand, eight hundred eight".