3673635840 has 396 divisors, whose sum is σ = 14816366136. Its totient is φ = 839172096.

The previous prime is 3673635839. The next prime is 3673635841. The reversal of 3673635840 is 485363763.

3673635840 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 63 + 584 + 0 = 666.

3673635840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3673635839) and next prime (3673635841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673635841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2257107 + ... + 2258733.

It is an arithmetic number, because the mean of its divisors is an integer number (37415066).

It is a vampire number, since it can be written as 53760 ⋅ 68334 (with its own digits).

Almost surely, 2^3673635840 is an apocalyptic number.

3673635840 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 3673635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408183068).

3673635840 is an abundant number, since it is smaller than the sum of its proper divisors (11142730296).

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

3673635840 is a wasteful number, since it uses less digits than its factorization.

3673635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3673635840 is about 60610.5258185408. The cubic root of 3673635840 is about 1542.9980165313.

The spelling of 3673635840 in words is "three billion, six hundred seventy-three million, six hundred thirty-five thousand, eight hundred forty".