3669873480 has 512 divisors, whose sum is σ = 15274828800. Its totient is φ = 772623360.

The previous prime is 3669873457. The next prime is 3669873497. The reversal of 3669873480 is 843789663.

3669873480 is a `hidden beast` number, since 3 + 6 + 6 + 98 + 73 + 480 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7960450 + ... + 7960910.

It is an arithmetic number, because the mean of its divisors is an integer number (29833650).

Almost surely, 2^3669873480 is an apocalyptic number.

3669873480 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 3669873480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637414400).

3669873480 is an abundant number, since it is smaller than the sum of its proper divisors (11604955320).

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

3669873480 is a wasteful number, since it uses less digits than its factorization.

3669873480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3669873480 is about 60579.4806844694. The cubic root of 3669873480 is about 1542.4710819775.

The spelling of 3669873480 in words is "three billion, six hundred sixty-nine million, eight hundred seventy-three thousand, four hundred eighty".