3375531720 has 288 divisors, whose sum is σ = 12380247360. Its totient is φ = 791020800.

The previous prime is 3375531707. The next prime is 3375531749. The reversal of 3375531720 is 271355733.

3375531720 is a `hidden beast` number, since 3 + 37 + 553 + 1 + 72 + 0 = 666.

It is a super-3 number, since 3×3375531720³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3805117 + ... + 3806003.

It is an arithmetic number, because the mean of its divisors is an integer number (42986970).

Almost surely, 2^3375531720 is an apocalyptic number.

3375531720 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 3375531720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190123680).

3375531720 is an abundant number, since it is smaller than the sum of its proper divisors (9004715640).

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

3375531720 is a wasteful number, since it uses less digits than its factorization.

3375531720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 3375531720 is about 58099.3263300015. The cubic root of 3375531720 is about 1500.0787691969.

It can be divided in two parts, 3375 and 531720, that added together give a triangular number (535095 = T₁₀₃₄).

The spelling of 3375531720 in words is "three billion, three hundred seventy-five million, five hundred thirty-one thousand, seven hundred twenty".