3375090040 has 128 divisors (see below), whose sum is σ = 8839756800. Its totient is φ = 1135918080.

The previous prime is 3375090031. The next prime is 3375090041. The reversal of 3375090040 is 400905733.

3375090040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3375090040² = 22782465556214403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3375089984 and 3375090011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375090041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4161235 + ... + 4162045.

It is an arithmetic number, because the mean of its divisors is an integer number (69060600).

Almost surely, 2^3375090040 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 3375090040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419878400).

3375090040 is an abundant number, since it is smaller than the sum of its proper divisors (5464666760).

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

3375090040 is a wasteful number, since it uses less digits than its factorization.

3375090040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 3375090040 is about 58095.5251288772. The cubic root of 3375090040 is about 1500.0133391406.

Adding to 3375090040 its reverse (400905733), we get a palindrome (3775995773).

The spelling of 3375090040 in words is "three billion, three hundred seventy-five million, ninety thousand, forty".