3446334540 has 480 divisors, whose sum is σ = 12448054080. Its totient is φ = 790732800.

The previous prime is 3446334523. The next prime is 3446334547. The reversal of 3446334540 is 454336443.

3446334540 is digitally balanced in base 2 and base 4, because in such bases 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 = 3446334495 and 3446334504.

It is not an unprimeable number, because it can be changed into a prime (3446334547) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38722816 + ... + 38722904.

It is an arithmetic number, because the mean of its divisors is an integer number (25933446).

Almost surely, 2^3446334540 is an apocalyptic number.

3446334540 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 3446334540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224027040).

3446334540 is an abundant number, since it is smaller than the sum of its proper divisors (9001719540).

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

3446334540 is a wasteful number, since it uses less digits than its factorization.

3446334540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The square root of 3446334540 is about 58705.4898625333. The cubic root of 3446334540 is about 1510.4944859465.

The spelling of 3446334540 in words is "three billion, four hundred forty-six million, three hundred thirty-four thousand, five hundred forty".