3450400000 has 216 divisors, whose sum is σ = 9101604960. Its totient is φ = 1301760000.

The previous prime is 3450399989. The next prime is 3450400001. The reversal of 3450400000 is 40543.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15199887 + ... + 15200113.

It is an arithmetic number, because the mean of its divisors is an integer number (42137060).

Almost surely, 2^3450400000 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 3450400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550802480).

3450400000 is an abundant number, since it is smaller than the sum of its proper divisors (5651204960).

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

3450400000 is an frugal number, since it uses more digits than its factorization.

3450400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3450400000 is about 58740.1055497860. The cubic root of 3450400000 is about 1511.0882029079.

Adding to 3450400000 its reverse (40543), we get a palindrome (3450440543).

The spelling of 3450400000 in words is "three billion, four hundred fifty million, four hundred thousand".