3445133040 has 160 divisors (see below), whose sum is σ = 12000571200. Its totient is φ = 908328960.

The previous prime is 3445133033. The next prime is 3445133047. The reversal of 3445133040 is 403315443.

3445133040 is a `hidden beast` number, since 344 + 5 + 13 + 304 + 0 = 666.

3445133040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3445133033) and next prime (3445133047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3445132995 and 3445133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445133047) 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, 183280 + ... + 201200.

It is an arithmetic number, because the mean of its divisors is an integer number (75003570).

Almost surely, 2^3445133040 is an apocalyptic number.

3445133040 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 3445133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000285600).

3445133040 is an abundant number, since it is smaller than the sum of its proper divisors (8555438160).

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

3445133040 is a wasteful number, since it uses less digits than its factorization.

3445133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18032 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3445133040 is about 58695.2556856174. The cubic root of 3445133040 is about 1510.3189303381.

Adding to 3445133040 its reverse (403315443), we get a palindrome (3848448483).

The spelling of 3445133040 in words is "three billion, four hundred forty-five million, one hundred thirty-three thousand, forty".