3684877920 has 240 divisors, whose sum is σ = 13094606448. Its totient is φ = 975836160.

The previous prime is 3684877883. The next prime is 3684877921. The reversal of 3684877920 is 297784863.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3684877921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2033815 + ... + 2035625.

Almost surely, 2^3684877920 is an apocalyptic number.

3684877920 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 3684877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547303224).

3684877920 is an abundant number, since it is smaller than the sum of its proper divisors (9409728528).

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

3684877920 is a wasteful number, since it uses less digits than its factorization.

3684877920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3684877920 is about 60703.1953030481. The cubic root of 3684877920 is about 1544.5703772927.

The spelling of 3684877920 in words is "three billion, six hundred eighty-four million, eight hundred seventy-seven thousand, nine hundred twenty".