3367442688 has 144 divisors (see below), whose sum is σ = 9590938560. Its totient is φ = 1045168128.

The previous prime is 3367442657. The next prime is 3367442707. The reversal of 3367442688 is 8862447633.

It is a super-2 number, since 2×3367442688² = 22679340513929330688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3367442688.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265103 + ... + 1267761.

It is an arithmetic number, because the mean of its divisors is an integer number (66603740).

Almost surely, 2^3367442688 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 3367442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795469280).

3367442688 is an abundant number, since it is smaller than the sum of its proper divisors (6223495872).

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

3367442688 is a wasteful number, since it uses less digits than its factorization.

3367442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2778 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 3367442688 is about 58029.6707555712. The cubic root of 3367442688 is about 1498.8795615090.

The spelling of 3367442688 in words is "three billion, three hundred sixty-seven million, four hundred forty-two thousand, six hundred eighty-eight".