3374113344 has 336 divisors, whose sum is σ = 10945368000. Its totient is φ = 913403904.

The previous prime is 3374113343. The next prime is 3374113349. The reversal of 3374113344 is 4433114733.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3374113344² = 22769281716317724672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3374113343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22644982 + ... + 22645130.

It is an arithmetic number, because the mean of its divisors is an integer number (32575500).

Almost surely, 2^3374113344 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 3374113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472684000).

3374113344 is an abundant number, since it is smaller than the sum of its proper divisors (7571254656).

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

3374113344 is a wasteful number, since it uses less digits than its factorization.

3374113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 3374113344 is about 58087.1185720208. The cubic root of 3374113344 is about 1499.8686320509.

The spelling of 3374113344 in words is "three billion, three hundred seventy-four million, one hundred thirteen thousand, three hundred forty-four".