3445149240 has 256 divisors, whose sum is σ = 12579840000. Its totient is φ = 833462784.

The previous prime is 3445149233. The next prime is 3445149241. The reversal of 3445149240 is 429415443.

3445149240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3445149195 and 3445149204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445149241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826281 + ... + 830439.

It is an arithmetic number, because the mean of its divisors is an integer number (49140000).

Almost surely, 2^3445149240 is an apocalyptic number.

3445149240 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 3445149240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920000).

3445149240 is an abundant number, since it is smaller than the sum of its proper divisors (9134690760).

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

3445149240 is a wasteful number, since it uses less digits than its factorization.

3445149240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3445149240 is about 58695.3936863874. The cubic root of 3445149240 is about 1510.3212976514.

The spelling of 3445149240 in words is "three billion, four hundred forty-five million, one hundred forty-nine thousand, two hundred forty".