3661145880 has 256 divisors, whose sum is σ = 13182566400. Its totient is φ = 795778560.

The previous prime is 3661145867. The next prime is 3661145897. The reversal of 3661145880 is 885411663.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535169 + ... + 1537551.

It is an arithmetic number, because the mean of its divisors is an integer number (51494400).

Almost surely, 2^3661145880 is an apocalyptic number.

3661145880 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 3661145880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591283200).

3661145880 is an abundant number, since it is smaller than the sum of its proper divisors (9521420520).

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

3661145880 is a wasteful number, since it uses less digits than its factorization.

3661145880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 3661145880 is about 60507.4035139503. The cubic root of 3661145880 is about 1541.2473561889.

The spelling of 3661145880 in words is "three billion, six hundred sixty-one million, one hundred forty-five thousand, eight hundred eighty".