3367873728 has 280 divisors, whose sum is σ = 10857707520. Its totient is φ = 1028298240.

The previous prime is 3367873687. The next prime is 3367873771. The reversal of 3367873728 is 8273787633.

It is a super-2 number, since 2×3367873728² = 22685146895505235968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3052825 + ... + 3053927.

Almost surely, 2^3367873728 is an apocalyptic number.

3367873728 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 3367873728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428853760).

3367873728 is an abundant number, since it is smaller than the sum of its proper divisors (7489833792).

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

3367873728 is a wasteful number, since it uses less digits than its factorization.

3367873728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1158 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 3367873728 is about 58033.3845988669. The cubic root of 3367873728 is about 1498.9435120635.

The spelling of 3367873728 in words is "three billion, three hundred sixty-seven million, eight hundred seventy-three thousand, seven hundred twenty-eight".