3673501920 has 432 divisors, whose sum is σ = 14273794080. Its totient is φ = 858654720.

The previous prime is 3673501861. The next prime is 3673501927. The reversal of 3673501920 is 291053763.

3673501920 is a `hidden beast` number, since 3 + 67 + 3 + 501 + 92 + 0 = 666.

3673501920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673501927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5052597 + ... + 5053323.

It is an arithmetic number, because the mean of its divisors is an integer number (33041190).

Almost surely, 2^3673501920 is an apocalyptic number.

3673501920 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 3673501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136897040).

3673501920 is an abundant number, since it is smaller than the sum of its proper divisors (10600292160).

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

3673501920 is a wasteful number, since it uses less digits than its factorization.

3673501920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3673501920 is about 60609.4210498665. The cubic root of 3673501920 is about 1542.9792666412.

The spelling of 3673501920 in words is "three billion, six hundred seventy-three million, five hundred one thousand, nine hundred twenty".