3085749043200 has 900 divisors, whose sum is σ = 12106046538432. Its totient is φ = 774320947200.

The previous prime is 3085749043189. The next prime is 3085749043231. The reversal of 3085749043200 is 23409475803.

3085749043200 is a `hidden beast` number, since 30 + 8 + 574 + 9 + 0 + 43 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 564016465 + ... + 564021935.

Almost surely, 2^{3085749043200} is an apocalyptic number.

3085749043200 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 3085749043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053023269216).

3085749043200 is an abundant number, since it is smaller than the sum of its proper divisors (9020297495232).

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

3085749043200 is an equidigital number, since it uses as much as digits as its factorization.

3085749043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3085749043200 in words is "three trillion, eighty-five billion, seven hundred forty-nine million, forty-three thousand, two hundred".