3393679464 has 128 divisors (see below), whose sum is σ = 10977120000. Its totient is φ = 951305472.

The previous prime is 3393679447. The next prime is 3393679489. The reversal of 3393679464 is 4649763933.

3393679464 is a `hidden beast` number, since 33 + 93 + 67 + 9 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3393679464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58962 + ... + 101310.

It is an arithmetic number, because the mean of its divisors is an integer number (85758750).

Almost surely, 2^3393679464 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 3393679464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560000).

3393679464 is an abundant number, since it is smaller than the sum of its proper divisors (7583440536).

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

3393679464 is a wasteful number, since it uses less digits than its factorization.

3393679464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42424 (or 42414 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The square root of 3393679464 is about 58255.2955876116. The cubic root of 3393679464 is about 1502.7622382376.

The spelling of 3393679464 in words is "three billion, three hundred ninety-three million, six hundred seventy-nine thousand, four hundred sixty-four".