3376634688 has 392 divisors, whose sum is σ = 11771172800. Its totient is φ = 960180480.

The previous prime is 3376634621. The next prime is 3376634713. The reversal of 3376634688 is 8864366733.

It is a tau number, because it is divible by the number of its divisors (392).

It is a super-2 number, since 2×3376634688² = 22803323632409714688, which contains 22 as substring.

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 congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 16002903 + ... + 16003113.

Almost surely, 2^3376634688 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 3376634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885586400).

3376634688 is an abundant number, since it is smaller than the sum of its proper divisors (8394538112).

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

3376634688 is an frugal number, since it uses more digits than its factorization.

3376634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 223 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 3376634688 is about 58108.8176441407. The cubic root of 3376634688 is about 1500.2421369110.

The spelling of 3376634688 in words is "three billion, three hundred seventy-six million, six hundred thirty-four thousand, six hundred eighty-eight".