3374784000 has 960 divisors, whose sum is σ = 14871048192. Its totient is φ = 746496000.

The previous prime is 3374783987. The next prime is 3374784029. The reversal of 3374784000 is 4874733.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3374784000² = 22778334093312000000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 108863985 + ... + 108864015.

Almost surely, 2^3374784000 is an apocalyptic number.

3374784000 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 3374784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435524096).

3374784000 is an abundant number, since it is smaller than the sum of its proper divisors (11496264192).

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

3374784000 is an frugal number, since it uses more digits than its factorization.

3374784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3374784000 is about 58092.8911313596. The cubic root of 3374784000 is about 1499.9679993173.

The spelling of 3374784000 in words is "three billion, three hundred seventy-four million, seven hundred eighty-four thousand".