3374824320 has 192 divisors, whose sum is σ = 13318662240. Its totient is φ = 771379200.

The previous prime is 3374824303. The next prime is 3374824333. The reversal of 3374824320 is 234284733.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3374824320² = 22778878381726924800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531 + ... + 82170.

Almost surely, 2^3374824320 is an apocalyptic number.

3374824320 is a gapful number since it is divisible by the number (30) 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 3374824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659331120).

3374824320 is an abundant number, since it is smaller than the sum of its proper divisors (9943837920).

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

3374824320 is a wasteful number, since it uses less digits than its factorization.

3374824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83733 (or 83718 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3374824320 is about 58093.2381607361. The cubic root of 3374824320 is about 1499.9739728817.

The spelling of 3374824320 in words is "three billion, three hundred seventy-four million, eight hundred twenty-four thousand, three hundred twenty".