3045039801300 has 1728 divisors, whose sum is σ = 12320751421440. Its totient is φ = 631446036480.

The previous prime is 3045039801299. The next prime is 3045039801347. The reversal of 3045039801300 is 31089305403.

3045039801300 is a `hidden beast` number, since 30 + 4 + 503 + 98 + 0 + 1 + 30 + 0 = 666.

It is a super-3 number, since 3×3045039801300³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 28458315847 + ... + 28458315953.

It is an arithmetic number, because the mean of its divisors is an integer number (7130064480).

Almost surely, 2^{3045039801300} is an apocalyptic number.

3045039801300 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 3045039801300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160375710720).

3045039801300 is an abundant number, since it is smaller than the sum of its proper divisors (9275711620140).

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

3045039801300 is a wasteful number, since it uses less digits than its factorization.

3045039801300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3045039801300 in words is "three trillion, forty-five billion, thirty-nine million, eight hundred one thousand, three hundred".