3452006400 has 312 divisors, whose sum is σ = 12102890544. Its totient is φ = 865075200.

The previous prime is 3452006323. The next prime is 3452006413. The reversal of 3452006400 is 46002543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5222070 + ... + 5222730.

Almost surely, 2^3452006400 is an apocalyptic number.

3452006400 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 3452006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051445272).

3452006400 is an abundant number, since it is smaller than the sum of its proper divisors (8650884144).

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

3452006400 is a wasteful number, since it uses less digits than its factorization.

3452006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3452006400 is about 58753.7777508817. Note that the first 4 decimals coincide. The cubic root of 3452006400 is about 1511.3226719044.

Adding to 3452006400 its reverse (46002543), we get a palindrome (3498008943).

The spelling of 3452006400 in words is "three billion, four hundred fifty-two million, six thousand, four hundred".