3008828394000 has 480 divisors, whose sum is σ = 12346054051968. Its totient is φ = 673303680000.

The previous prime is 3008828393999. The next prime is 3008828394017. The reversal of 3008828394000 is 4938288003.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1989535 + ... + 3158465.

Almost surely, 2^{3008828394000} is an apocalyptic number.

3008828394000 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 3008828394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173027025984).

3008828394000 is an abundant number, since it is smaller than the sum of its proper divisors (9337225657968).

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

3008828394000 is a wasteful number, since it uses less digits than its factorization.

3008828394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168984 (or 1168965 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3008828394000 in words is "three trillion, eight billion, eight hundred twenty-eight million, three hundred ninety-four thousand".