3001656000 has 448 divisors, whose sum is σ = 12005121024. Its totient is φ = 645120000.

The previous prime is 3001655959. The next prime is 3001656011. The reversal of 3001656000 is 6561003.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2855475 + ... + 2856525.

Almost surely, 2^3001656000 is an apocalyptic number.

3001656000 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 3001656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002560512).

3001656000 is an abundant number, since it is smaller than the sum of its proper divisors (9003465024).

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

3001656000 is a wasteful number, since it uses less digits than its factorization.

3001656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3001656000 is about 54787.3708075137. The cubic root of 3001656000 is about 1442.5148954145.

The spelling of 3001656000 in words is "three billion, one million, six hundred fifty-six thousand".