3834578856618 has 128 divisors (see below), whose sum is σ = 9510835104000. Its totient is φ = 1138077941760.

The previous prime is 3834578856587. The next prime is 3834578856623. The reversal of 3834578856618 is 8166588754383.

3834578856618 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 57 + 8 + 8 + 566 + 1 + 8 = 666.

It is a super-3 number, since 3×3834578856618³ (a number of 39 digits) contains 333 as substring.

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, 12211338 + ... + 12521418.

It is an arithmetic number, because the mean of its divisors is an integer number (74303399250).

Almost surely, 2^{3834578856618} is an apocalyptic number.

3834578856618 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3834578856618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755417552000).

3834578856618 is an abundant number, since it is smaller than the sum of its proper divisors (5676256247382).

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

3834578856618 is a wasteful number, since it uses less digits than its factorization.

3834578856618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310837 (or 310831 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 3834578856618 in words is "three trillion, eight hundred thirty-four billion, five hundred seventy-eight million, eight hundred fifty-six thousand, six hundred eighteen".