3008746552320 has 264 divisors, whose sum is σ = 10580839732944. Its totient is φ = 790356492288.

The previous prime is 3008746552313. The next prime is 3008746552337. The reversal of 3008746552320 is 232556478003.

3008746552320 is a `hidden beast` number, since 3 + 0 + 0 + 8 + 74 + 6 + 552 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2600092 + ... + 3574628.

Almost surely, 2^{3008746552320} is an apocalyptic number.

3008746552320 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 3008746552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290419866472).

3008746552320 is an abundant number, since it is smaller than the sum of its proper divisors (7572093180624).

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

3008746552320 is a wasteful number, since it uses less digits than its factorization.

3008746552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974635 (or 974614 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3008746552320 in words is "three trillion, eight billion, seven hundred forty-six million, five hundred fifty-two thousand, three hundred twenty".