3001738798080 has 1232 divisors, whose sum is σ = 11900093076864. Its totient is φ = 720139714560.

The previous prime is 3001738798001. The next prime is 3001738798103. The reversal of 3001738798080 is 808978371003.

3001738798080 is a `hidden beast` number, since 300 + 173 + 8 + 7 + 98 + 0 + 80 = 666.

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

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 111 ways as a sum of consecutive naturals, for example, 4639472317 + ... + 4639472963.

Almost surely, 2^{3001738798080} is an apocalyptic number.

3001738798080 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 3001738798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950046538432).

3001738798080 is an abundant number, since it is smaller than the sum of its proper divisors (8898354278784).

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

3001738798080 is a wasteful number, since it uses less digits than its factorization.

3001738798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 3001738798080 in words is "three trillion, one billion, seven hundred thirty-eight million, seven hundred ninety-eight thousand, eighty".