3452016400 has 120 divisors (see below), whose sum is σ = 9548496000. Its totient is φ = 1174778880.

The previous prime is 3452016383. The next prime is 3452016409. The reversal of 3452016400 is 46102543.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3452016409) 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, 379101 + ... + 388099.

It is an arithmetic number, because the mean of its divisors is an integer number (79570800).

Almost surely, 2^3452016400 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 3452016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774248000).

3452016400 is an abundant number, since it is smaller than the sum of its proper divisors (6096479600).

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

3452016400 is a wasteful number, since it uses less digits than its factorization.

3452016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9161 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3452016400 is about 58753.8628517309. The cubic root of 3452016400 is about 1511.3241312694.

Adding to 3452016400 its reverse (46102543), we get a palindrome (3498118943).

The spelling of 3452016400 in words is "three billion, four hundred fifty-two million, sixteen thousand, four hundred".