3484838520 has 96 divisors (see below), whose sum is σ = 11469182400. Its totient is φ = 917519616.

The previous prime is 3484838509. The next prime is 3484838549. The reversal of 3484838520 is 258384843.

3484838520 is a `hidden beast` number, since 3 + 48 + 4 + 83 + 8 + 520 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32827 + ... + 89706.

It is an arithmetic number, because the mean of its divisors is an integer number (119470650).

Almost surely, 2^3484838520 is an apocalyptic number.

3484838520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3484838520 is an abundant number, since it is smaller than the sum of its proper divisors (7984343880).

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

3484838520 is a wasteful number, since it uses less digits than its factorization.

3484838520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122629 (or 122622 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 3484838520 is about 59032.5208677387. The cubic root of 3484838520 is about 1516.0989706181.

The spelling of 3484838520 in words is "three billion, four hundred eighty-four million, eight hundred thirty-eight thousand, five hundred twenty".