3375392000 has 144 divisors (see below), whose sum is σ = 8460418512. Its totient is φ = 1341849600.

The previous prime is 3375391993. The next prime is 3375392011. The reversal of 3375392000 is 2935733.

It can be written as a sum of positive squares in 8 ways, for example, as 2619801856 + 755590144 = 51184^2 + 27488^2 .

It is a super-2 number, since 2×3375392000² = 22786542307328000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10015832 + ... + 10016168.

Almost surely, 2^3375392000 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 3375392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230209256).

3375392000 is an abundant number, since it is smaller than the sum of its proper divisors (5085026512).

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

3375392000 is an equidigital number, since it uses as much as digits as its factorization.

3375392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 32.

The square root of 3375392000 is about 58098.1238939779. The cubic root of 3375392000 is about 1500.0580718258.

The spelling of 3375392000 in words is "three billion, three hundred seventy-five million, three hundred ninety-two thousand".