3340212768 has 192 divisors, whose sum is σ = 10859184000. Its totient is φ = 992673792.

The previous prime is 3340212767. The next prime is 3340212773. The reversal of 3340212768 is 8672120433.

It is a happy number.

It is a super-2 number, since 2×3340212768² = 22314042671020443648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3340212761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273088 + ... + 285056.

It is an arithmetic number, because the mean of its divisors is an integer number (56558250).

Almost surely, 2^3340212768 is an apocalyptic number.

3340212768 is a gapful number since it is divisible by the number (38) 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 3340212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429592000).

3340212768 is an abundant number, since it is smaller than the sum of its proper divisors (7518971232).

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

3340212768 is a wasteful number, since it uses less digits than its factorization.

3340212768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12024 (or 12010 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3340212768 is about 57794.5738629501. The cubic root of 3340212768 is about 1494.8285270683.

The spelling of 3340212768 in words is "three billion, three hundred forty million, two hundred twelve thousand, seven hundred sixty-eight".