3741180480 has 224 divisors, whose sum is σ = 13974958080. Its totient is φ = 938926080.

The previous prime is 3741180479. The next prime is 3741180481. The reversal of 3741180480 is 840811473.

It is an interprime number because it is at equal distance from previous prime (3741180479) and next prime (3741180481).

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

It is not an unprimeable number, because it can be changed into a prime (3741180481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134145 + ... + 159615.

Almost surely, 2^3741180480 is an apocalyptic number.

3741180480 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 3741180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987479040).

3741180480 is an abundant number, since it is smaller than the sum of its proper divisors (10233777600).

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

3741180480 is a wasteful number, since it uses less digits than its factorization.

3741180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25514 (or 25498 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3741180480 is about 61165.1901002523. The cubic root of 3741180480 is about 1552.3973280371.

The spelling of 3741180480 in words is "three billion, seven hundred forty-one million, one hundred eighty thousand, four hundred eighty".