3374273760 has 576 divisors, whose sum is σ = 13006889280. Its totient is φ = 729907200.

The previous prime is 3374273759. The next prime is 3374273797. The reversal of 3374273760 is 673724733.

It is a happy number.

It is a super-2 number, since 2×3374273760² = 22771446814849075200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30956586 + ... + 30956694.

It is an arithmetic number, because the mean of its divisors is an integer number (22581405).

Almost surely, 2^3374273760 is an apocalyptic number.

3374273760 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 3374273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503444640).

3374273760 is an abundant number, since it is smaller than the sum of its proper divisors (9632615520).

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

3374273760 is a wasteful number, since it uses less digits than its factorization.

3374273760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 42.

The square root of 3374273760 is about 58088.4993781041. The cubic root of 3374273760 is about 1499.8924011707.

The spelling of 3374273760 in words is "three billion, three hundred seventy-four million, two hundred seventy-three thousand, seven hundred sixty".