3671665920 has 216 divisors, whose sum is σ = 13681338216. Its totient is φ = 903757824.

The previous prime is 3671665913. The next prime is 3671665961. The reversal of 3671665920 is 295661763.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 3669451776 = 1488^2 + 60576^2 .

It is a super-2 number, since 2×3671665920² = 26962261256178892800, 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 23 ways as a sum of consecutive naturals, for example, 137502 + ... + 162018.

Almost surely, 2^3671665920 is an apocalyptic number.

3671665920 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 3671665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840669108).

3671665920 is an abundant number, since it is smaller than the sum of its proper divisors (10009672296).

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

3671665920 is a wasteful number, since it uses less digits than its factorization.

3671665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24557 (or 24540 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3671665920 is about 60594.2729967115. The cubic root of 3671665920 is about 1542.7221657345.

The spelling of 3671665920 in words is "three billion, six hundred seventy-one million, six hundred sixty-five thousand, nine hundred twenty".