3438450540 has 288 divisors, whose sum is σ = 12875889600. Its totient is φ = 758661120.

The previous prime is 3438450503. The next prime is 3438450637. The reversal of 3438450540 is 450548343.

3438450540 is a `hidden beast` number, since 34 + 3 + 84 + 5 + 0 + 540 = 666.

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 = 3438450495 and 3438450504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 765100 + ... + 769580.

It is an arithmetic number, because the mean of its divisors is an integer number (44707950).

Almost surely, 2^3438450540 is an apocalyptic number.

3438450540 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 3438450540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437944800).

3438450540 is an abundant number, since it is smaller than the sum of its proper divisors (9437439060).

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

3438450540 is a wasteful number, since it uses less digits than its factorization.

3438450540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3438450540 is about 58638.3026698420. The cubic root of 3438450540 is about 1509.3417799872.

Adding to 3438450540 its reverse (450548343), we get a palindrome (3888998883).

The spelling of 3438450540 in words is "three billion, four hundred thirty-eight million, four hundred fifty thousand, five hundred forty".