3003369062400 has 2040 divisors, whose sum is σ = 13168281845664. Its totient is φ = 662490316800.

The previous prime is 3003369062371. The next prime is 3003369062413. The reversal of 3003369062400 is 42609633003.

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

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49235558370 + ... + 49235558430.

Almost surely, 2^{3003369062400} is an apocalyptic number.

3003369062400 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 3003369062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584140922832).

3003369062400 is an abundant number, since it is smaller than the sum of its proper divisors (10164912783264).

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

3003369062400 is an frugal number, since it uses more digits than its factorization.

3003369062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 3003369062400 in words is "three trillion, three billion, three hundred sixty-nine million, sixty-two thousand, four hundred".