3346732512 has 96 divisors (see below), whose sum is σ = 9851133600. Its totient is φ = 1105311744.

The previous prime is 3346732481. The next prime is 3346732513. The reversal of 3346732512 is 2152376433.

3346732512 is a `hidden beast` number, since 33 + 46 + 73 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3346732512² = 22401237013755660288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346732513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76408 + ... + 111944.

It is an arithmetic number, because the mean of its divisors is an integer number (102615975).

Almost surely, 2^3346732512 is an apocalyptic number.

3346732512 is a gapful number since it is divisible by the number (32) 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 3346732512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925566800).

3346732512 is an abundant number, since it is smaller than the sum of its proper divisors (6504401088).

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

3346732512 is a wasteful number, since it uses less digits than its factorization.

3346732512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35665 (or 35651 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 3346732512 is about 57850.9508305611. The cubic root of 3346732512 is about 1495.8004776469.

The spelling of 3346732512 in words is "three billion, three hundred forty-six million, seven hundred thirty-two thousand, five hundred twelve".