3677481920 has 224 divisors, whose sum is σ = 10691896320. Its totient is φ = 1176698880.

The previous prime is 3677481893. The next prime is 3677481931. The reversal of 3677481920 is 291847763.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3021152 + ... + 3022368.

It is an arithmetic number, because the mean of its divisors is an integer number (47731680).

Almost surely, 2^3677481920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3677481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345948160).

3677481920 is an abundant number, since it is smaller than the sum of its proper divisors (7014414400).

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

3677481920 is a wasteful number, since it uses less digits than its factorization.

3677481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 3677481920 is about 60642.2453410162. The cubic root of 3677481920 is about 1543.5363046880.

The spelling of 3677481920 in words is "three billion, six hundred seventy-seven million, four hundred eighty-one thousand, nine hundred twenty".