3506281920 has 336 divisors, whose sum is σ = 12887626752. Its totient is φ = 872847360.

The previous prime is 3506281879. The next prime is 3506281951. The reversal of 3506281920 is 291826053.

3506281920 is a `hidden beast` number, since 3 + 5 + 0 + 628 + 1 + 9 + 20 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2847705 + ... + 2848935.

It is an arithmetic number, because the mean of its divisors is an integer number (38356032).

Almost surely, 2^3506281920 is an apocalyptic number.

3506281920 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 3506281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443813376).

3506281920 is an abundant number, since it is smaller than the sum of its proper divisors (9381344832).

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

3506281920 is a wasteful number, since it uses less digits than its factorization.

3506281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3506281920 is about 59213.8659437129. The cubic root of 3506281920 is about 1519.2023053588.

The spelling of 3506281920 in words is "three billion, five hundred six million, two hundred eighty-one thousand, nine hundred twenty".