3501828720 has 480 divisors, whose sum is σ = 13381018560. Its totient is φ = 841052160.

The previous prime is 3501828713. The next prime is 3501828749. The reversal of 3501828720 is 278281053.

3501828720 is a `hidden beast` number, since 3 + 501 + 82 + 8 + 72 + 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 95 ways as a sum of consecutive naturals, for example, 19347030 + ... + 19347210.

It is an arithmetic number, because the mean of its divisors is an integer number (27877122).

Almost surely, 2^3501828720 is an apocalyptic number.

3501828720 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 3501828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690509280).

3501828720 is an abundant number, since it is smaller than the sum of its proper divisors (9879189840).

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

3501828720 is a wasteful number, since it uses less digits than its factorization.

3501828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3501828720 is about 59176.2513175683. The cubic root of 3501828720 is about 1518.5588718484.

The spelling of 3501828720 in words is "three billion, five hundred one million, eight hundred twenty-eight thousand, seven hundred twenty".