3374410752 has 264 divisors, whose sum is σ = 10300372992. Its totient is φ = 1103155200.

The previous prime is 3374410751. The next prime is 3374410759. The reversal of 3374410752 is 2570144733.

It is a super-3 number, since 3×3374410752³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3374410751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17666977 + ... + 17667167.

Almost surely, 2^3374410752 is an apocalyptic number.

3374410752 is a gapful number since it is divisible by the number (32) 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 3374410752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150186496).

3374410752 is an abundant number, since it is smaller than the sum of its proper divisors (6925962240).

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

3374410752 is an equidigital number, since it uses as much as digits as its factorization.

3374410752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3374410752 is about 58089.6785324209. The cubic root of 3374410752 is about 1499.9126989191.

The spelling of 3374410752 in words is "three billion, three hundred seventy-four million, four hundred ten thousand, seven hundred fifty-two".