3084077997000 has 3072 divisors, whose sum is σ = 15019322572800. Its totient is φ = 571069440000.

The previous prime is 3084077996983. The next prime is 3084077997037. The reversal of 3084077997000 is 7997704803.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7540532796 + ... + 7540533204.

It is an arithmetic number, because the mean of its divisors is an integer number (4889102400).

Almost surely, 2^{3084077997000} is an apocalyptic number.

3084077997000 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 3084077997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509661286400).

3084077997000 is an abundant number, since it is smaller than the sum of its proper divisors (11935244575800).

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

3084077997000 is a wasteful number, since it uses less digits than its factorization.

3084077997000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 3084077997000 in words is "three trillion, eighty-four billion, seventy-seven million, nine hundred ninety-seven thousand".