3001289040 has 240 divisors, whose sum is σ = 10453826448. Its totient is φ = 771047424.

The previous prime is 3001289029. The next prime is 3001289051. The reversal of 3001289040 is 409821003.

It is an interprime number because it is at equal distance from previous prime (3001289029) and next prime (3001289051).

It can be written as a sum of positive squares in 8 ways, for example, as 3069504 + 2998219536 = 1752^2 + 54756^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3001288995 and 3001289013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3009822 + ... + 3010818.

Almost surely, 2^3001289040 is an apocalyptic number.

3001289040 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 3001289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226913224).

3001289040 is an abundant number, since it is smaller than the sum of its proper divisors (7452537408).

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

3001289040 is a wasteful number, since it uses less digits than its factorization.

3001289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3001289040 is about 54784.0217581732. The cubic root of 3001289040 is about 1442.4561093268.

The spelling of 3001289040 in words is "three billion, one million, two hundred eighty-nine thousand, forty".