3072894289920 has 1152 divisors, whose sum is σ = 13212596517120. Its totient is φ = 643167682560.

The previous prime is 3072894289901. The next prime is 3072894289973. The reversal of 3072894289920 is 299824982703.

3072894289920 is a `hidden beast` number, since 30 + 72 + 8 + 9 + 428 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1098637962 + ... + 1098640758.

It is an arithmetic number, because the mean of its divisors is an integer number (11469267810).

Almost surely, 2^{3072894289920} is an apocalyptic number.

3072894289920 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 3072894289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606298258560).

3072894289920 is an abundant number, since it is smaller than the sum of its proper divisors (10139702227200).

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

3072894289920 is a wasteful number, since it uses less digits than its factorization.

3072894289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 3072894289920 in words is "three trillion, seventy-two billion, eight hundred ninety-four million, two hundred eighty-nine thousand, nine hundred twenty".