3030877440 has 720 divisors, whose sum is σ = 11966524416. Its totient is φ = 729907200.

The previous prime is 3030877433. The next prime is 3030877477. The reversal of 3030877440 is 447780303.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3030877395 and 3030877404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73923820 + ... + 73923860.

Almost surely, 2^3030877440 is an apocalyptic number.

3030877440 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 3030877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983262208).

3030877440 is an abundant number, since it is smaller than the sum of its proper divisors (8935646976).

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

3030877440 is a wasteful number, since it uses less digits than its factorization.

3030877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3030877440 is about 55053.4053442655. The cubic root of 3030877440 is about 1447.1807989004.

The spelling of 3030877440 in words is "three billion, thirty million, eight hundred seventy-seven thousand, four hundred forty".