3468750516 has 144 divisors (see below), whose sum is σ = 11575025280. Its totient is φ = 847964160.

The previous prime is 3468750403. The next prime is 3468750521. The reversal of 3468750516 is 6150578643.

3468750516 is a `hidden beast` number, since 3 + 4 + 6 + 87 + 50 + 516 = 666.

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, 10320 + ... + 83928.

It is an arithmetic number, because the mean of its divisors is an integer number (80382120).

Almost surely, 2^3468750516 is an apocalyptic number.

3468750516 is a gapful number since it is divisible by the number (36) 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 3468750516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787512640).

3468750516 is an abundant number, since it is smaller than the sum of its proper divisors (8106274764).

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

3468750516 is a wasteful number, since it uses less digits than its factorization.

3468750516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73654 (or 73649 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3468750516 is about 58896.0993275446. The cubic root of 3468750516 is about 1513.7623116886.

The spelling of 3468750516 in words is "three billion, four hundred sixty-eight million, seven hundred fifty thousand, five hundred sixteen".