3835815304608 has 1152 divisors, whose sum is σ = 14230702080000. Its totient is φ = 998430935040.

The previous prime is 3835815304597. The next prime is 3835815304609. The reversal of 3835815304608 is 8064035185383.

3835815304608 is a `hidden beast` number, since 3 + 8 + 3 + 581 + 53 + 0 + 4 + 6 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3835815304609) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4962244510 + ... + 4962245282.

It is an arithmetic number, because the mean of its divisors is an integer number (12353040000).

Almost surely, 2^{3835815304608} is an apocalyptic number.

3835815304608 is a gapful number since it is divisible by the number (38) 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 3835815304608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115351040000).

3835815304608 is an abundant number, since it is smaller than the sum of its proper divisors (10394886775392).

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

3835815304608 is a wasteful number, since it uses less digits than its factorization.

3835815304608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3835815304608 in words is "three trillion, eight hundred thirty-five billion, eight hundred fifteen million, three hundred four thousand, six hundred eight".