3903056820 has 192 divisors, whose sum is σ = 13112682240. Its totient is φ = 958127616.

The previous prime is 3903056791. The next prime is 3903056863. The reversal of 3903056820 is 286503093.

3903056820 is a `hidden beast` number, since 3 + 90 + 3 + 0 + 568 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4302807 + ... + 4303713.

It is an arithmetic number, because the mean of its divisors is an integer number (68295220).

Almost surely, 2^3903056820 is an apocalyptic number.

3903056820 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 3903056820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556341120).

3903056820 is an abundant number, since it is smaller than the sum of its proper divisors (9209625420).

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

3903056820 is a wasteful number, since it uses less digits than its factorization.

3903056820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3903056820 is about 62474.4493373091. The cubic root of 3903056820 is about 1574.4720588812.

The spelling of 3903056820 in words is "three billion, nine hundred three million, fifty-six thousand, eight hundred twenty".