3667482360 has 224 divisors, whose sum is σ = 12460724640. Its totient is φ = 971004672.

The previous prime is 3667482347. The next prime is 3667482383. The reversal of 3667482360 is 632847663.

It is a super-2 number, since 2×3667482360² = 26900853721822339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5044317 + ... + 5045043.

It is an arithmetic number, because the mean of its divisors is an integer number (55628235).

Almost surely, 2^3667482360 is an apocalyptic number.

3667482360 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 3667482360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230362320).

3667482360 is an abundant number, since it is smaller than the sum of its proper divisors (8793242280).

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

3667482360 is a wasteful number, since it uses less digits than its factorization.

3667482360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3667482360 is about 60559.7420734270. The cubic root of 3667482360 is about 1542.1360082308.

The spelling of 3667482360 in words is "three billion, six hundred sixty-seven million, four hundred eighty-two thousand, three hundred sixty".