3085881400 has 192 divisors, whose sum is σ = 8632572480. Its totient is φ = 1003622400.

The previous prime is 3085881347. The next prime is 3085881401. The reversal of 3085881400 is 41885803.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3085881400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3085881401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2123074 + ... + 2124526.

It is an arithmetic number, because the mean of its divisors is an integer number (44961315).

Almost surely, 2^3085881400 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 3085881400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316286240).

3085881400 is an abundant number, since it is smaller than the sum of its proper divisors (5546691080).

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

3085881400 is a wasteful number, since it uses less digits than its factorization.

3085881400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 3085881400 is about 55550.7101664776. The cubic root of 3085881400 is about 1455.8827832517.

The spelling of 3085881400 in words is "three billion, eighty-five million, eight hundred eighty-one thousand, four hundred".