3001551745920 has 1536 divisors, whose sum is σ = 12961108339200. Its totient is φ = 583580712960.

The previous prime is 3001551745909. The next prime is 3001551745921. The reversal of 3001551745920 is 295471551003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001551745921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 859795375 + ... + 859798865.

It is an arithmetic number, because the mean of its divisors is an integer number (8438221575).

Almost surely, 2^{3001551745920} is an apocalyptic number.

3001551745920 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 3001551745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480554169600).

3001551745920 is an abundant number, since it is smaller than the sum of its proper divisors (9959556593280).

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

3001551745920 is a wasteful number, since it uses less digits than its factorization.

3001551745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 3001551745920 in words is "three trillion, one billion, five hundred fifty-one million, seven hundred forty-five thousand, nine hundred twenty".