3037780480 has 240 divisors, whose sum is σ = 8633293416. Its totient is φ = 1021870080.

The previous prime is 3037780429. The next prime is 3037780483. The reversal of 3037780480 is 840877303.

It can be written as a sum of positive squares in 4 ways, for example, as 1840066816 + 1197713664 = 42896^2 + 34608^2 .

It is a super-2 number, since 2×3037780480² = 18456220489338060800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3037780483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7651642 + ... + 7652038.

Almost surely, 2^3037780480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3037780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316646708).

3037780480 is an abundant number, since it is smaller than the sum of its proper divisors (5595512936).

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

3037780480 is an equidigital number, since it uses as much as digits as its factorization.

3037780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 3037780480 is about 55116.0637201170. The cubic root of 3037780480 is about 1448.2786517443.

The spelling of 3037780480 in words is "three billion, thirty-seven million, seven hundred eighty thousand, four hundred eighty".