3020976000 has 896 divisors, whose sum is σ = 13217780160. Its totient is φ = 671846400.

The previous prime is 3020975989. The next prime is 3020976001. The reversal of 3020976000 is 6790203.

3020976000 is a `hidden beast` number, since 30 + 20 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020976001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81647982 + ... + 81648018.

Almost surely, 2^3020976000 is an apocalyptic number.

3020976000 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 3020976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608890080).

3020976000 is an abundant number, since it is smaller than the sum of its proper divisors (10196804160).

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

3020976000 is an frugal number, since it uses more digits than its factorization.

3020976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3020976000 is about 54963.4060079977. The cubic root of 3020976000 is about 1445.6031692868.

The spelling of 3020976000 in words is "three billion, twenty million, nine hundred seventy-six thousand".