3003725835000 has 1200 divisors, whose sum is σ = 12188440356840. Its totient is φ = 685048320000.

The previous prime is 3003725834939. The next prime is 3003725835073. The reversal of 3003725835000 is 5385273003.

3003725835000 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 72 + 5 + 83 + 500 + 0 = 666.

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 299 ways as a sum of consecutive naturals, for example, 1287493834 + ... + 1287496166.

Almost surely, 2^{3003725835000} is an apocalyptic number.

3003725835000 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 3003725835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094220178420).

3003725835000 is an abundant number, since it is smaller than the sum of its proper divisors (9184714521840).

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

3003725835000 is a wasteful number, since it uses less digits than its factorization.

3003725835000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 3003725835000 in words is "three trillion, three billion, seven hundred twenty-five million, eight hundred thirty-five thousand".