3371105952 has 336 divisors, whose sum is σ = 10656067968. Its totient is φ = 1046960640.

The previous prime is 3371105911. The next prime is 3371106007. The reversal of 3371105952 is 2595011733.

It is a super-3 number, since 3×3371105952³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32729133 + ... + 32729235.

It is an arithmetic number, because the mean of its divisors is an integer number (31714488).

Almost surely, 2^3371105952 is an apocalyptic number.

3371105952 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 3371105952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328033984).

3371105952 is an abundant number, since it is smaller than the sum of its proper divisors (7284962016).

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

3371105952 is a wasteful number, since it uses less digits than its factorization.

3371105952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 3371105952 is about 58061.2258912951. The cubic root of 3371105952 is about 1499.4228819850.

The spelling of 3371105952 in words is "three billion, three hundred seventy-one million, one hundred five thousand, nine hundred fifty-two".