3683419920 has 400 divisors, whose sum is σ = 14024838960. Its totient is φ = 891813888.

The previous prime is 3683419919. The next prime is 3683419931. The reversal of 3683419920 is 299143863.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 214681104 + 3468738816 = 14652^2 + 58896^2 .

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 79 ways as a sum of consecutive naturals, for example, 3194064 + ... + 3195216.

Almost surely, 2^3683419920 is an apocalyptic number.

3683419920 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 3683419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012419480).

3683419920 is an abundant number, since it is smaller than the sum of its proper divisors (10341419040).

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

3683419920 is a wasteful number, since it uses less digits than its factorization.

3683419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3683419920 is about 60691.1848623834. The cubic root of 3683419920 is about 1544.3666364235.

The spelling of 3683419920 in words is "three billion, six hundred eighty-three million, four hundred nineteen thousand, nine hundred twenty".