3673858320 has 240 divisors, whose sum is σ = 13566256704. Its totient is φ = 883584000.

The previous prime is 3673858313. The next prime is 3673858327. The reversal of 3673858320 is 238583763.

3673858320 is a `hidden beast` number, since 3 + 67 + 3 + 8 + 583 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3673858313) and next prime (3673858327).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3673858327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035750 + ... + 1039290.

Almost surely, 2^3673858320 is an apocalyptic number.

3673858320 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 3673858320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783128352).

3673858320 is an abundant number, since it is smaller than the sum of its proper divisors (9892398384).

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

3673858320 is a wasteful number, since it uses less digits than its factorization.

3673858320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3673858320 is about 60612.3611155348. The cubic root of 3673858320 is about 1543.0291645351.

The spelling of 3673858320 in words is "three billion, six hundred seventy-three million, eight hundred fifty-eight thousand, three hundred twenty".