3085753440 has 288 divisors, whose sum is σ = 12336033024. Its totient is φ = 641141760.

The previous prime is 3085753409. The next prime is 3085753477. The reversal of 3085753440 is 443575803.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252757 + ... + 264683.

It is an arithmetic number, because the mean of its divisors is an integer number (42833448).

Almost surely, 2^3085753440 is an apocalyptic number.

3085753440 is a gapful number since it is divisible by the number (30) 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 3085753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168016512).

3085753440 is an abundant number, since it is smaller than the sum of its proper divisors (9250279584).

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

3085753440 is a wasteful number, since it uses less digits than its factorization.

3085753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 3085753440 is about 55549.5584140864. The cubic root of 3085753440 is about 1455.8626596293.

The spelling of 3085753440 in words is "three billion, eighty-five million, seven hundred fifty-three thousand, four hundred forty".