3429600768 has 180 divisors, whose sum is σ = 10881454584. Its totient is φ = 1039104000.

The previous prime is 3429600761. The next prime is 3429600877. The reversal of 3429600768 is 8670069243.

3429600768 is a `hidden beast` number, since 34 + 2 + 9 + 600 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×3429600768² = 23524322855732379648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429600761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 554493 + ... + 560643.

Almost surely, 2^3429600768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440727292).

3429600768 is an abundant number, since it is smaller than the sum of its proper divisors (7451853816).

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

3429600768 is a wasteful number, since it uses less digits than its factorization.

3429600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3429600768 is about 58562.7933759994. The cubic root of 3429600768 is about 1508.0457692371.

The spelling of 3429600768 in words is "three billion, four hundred twenty-nine million, six hundred thousand, seven hundred sixty-eight".