3820507920 has 480 divisors, whose sum is σ = 14565567744. Its totient is φ = 892108800.

The previous prime is 3820507919. The next prime is 3820507963. The reversal of 3820507920 is 297050283.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11542155 + ... + 11542485.

Almost surely, 2^3820507920 is an apocalyptic number.

3820507920 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 3820507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282783872).

3820507920 is an abundant number, since it is smaller than the sum of its proper divisors (10745059824).

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

3820507920 is a wasteful number, since it uses less digits than its factorization.

3820507920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3820507920 is about 61810.2574011790. The cubic root of 3820507920 is about 1563.2929455345.

The spelling of 3820507920 in words is "three billion, eight hundred twenty million, five hundred seven thousand, nine hundred twenty".