3375138816 has 432 divisors, whose sum is σ = 11761315020. Its totient is φ = 928972800.

The previous prime is 3375138797. The next prime is 3375138839. The reversal of 3375138816 is 6188315733.

It can be written as a sum of positive squares in 2 ways, for example, as 2540160000 + 834978816 = 50400^2 + 28896^2 .

It is a super-2 number, since 2×3375138816² = 22783124054539763712, which contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime factors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33417166 + ... + 33417266.

Almost surely, 2^3375138816 is an apocalyptic number.

3375138816 is a gapful number since it is divisible by the number (36) 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 3375138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880657510).

3375138816 is an abundant number, since it is smaller than the sum of its proper divisors (8386176204).

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

3375138816 is a wasteful number, since it uses less digits than its factorization.

3375138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 3375138816 is about 58095.9449187291. The cubic root of 3375138816 is about 1500.0205650514.

The spelling of 3375138816 in words is "three billion, three hundred seventy-five million, one hundred thirty-eight thousand, eight hundred sixteen".