3085726644 has 768 divisors, whose sum is σ = 12030197760. Its totient is φ = 656916480.

The previous prime is 3085726603. The next prime is 3085726687. The reversal of 3085726644 is 4466275803.

3085726644 is a `hidden beast` number, since 30 + 8 + 572 + 6 + 6 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3085726644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42270192 + ... + 42270264.

It is an arithmetic number, because the mean of its divisors is an integer number (15664320).

Almost surely, 2^3085726644 is an apocalyptic number.

3085726644 is a gapful number since it is divisible by the number (34) 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 3085726644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015098880).

3085726644 is an abundant number, since it is smaller than the sum of its proper divisors (8944471116).

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

3085726644 is a wasteful number, since it uses less digits than its factorization.

3085726644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3085726644 is about 55549.3172235267. The cubic root of 3085726644 is about 1455.8584454874.

It can be divided in two parts, 3085726 and 644, that added together give a triangular number (3086370 = T₂₄₈₄).

The spelling of 3085726644 in words is "three billion, eighty-five million, seven hundred twenty-six thousand, six hundred forty-four".