3422154400 has 288 divisors, whose sum is σ = 10236844800. Its totient is φ = 1090437120.

The previous prime is 3422154389. The next prime is 3422154409. The reversal of 3422154400 is 44512243.

It is a happy number.

It is a super-2 number, since 2×3422154400² = 23422281474878720000, which contains 22 as substring.

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 (3422154409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9805426 + ... + 9805774.

It is an arithmetic number, because the mean of its divisors is an integer number (35544600).

Almost surely, 2^3422154400 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 3422154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118422400).

3422154400 is an abundant number, since it is smaller than the sum of its proper divisors (6814690400).

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

3422154400 is a wasteful number, since it uses less digits than its factorization.

3422154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 3422154400 is about 58499.1829002765. The cubic root of 3422154400 is about 1506.9535526309.

Adding to 3422154400 its reverse (44512243), we get a palindrome (3466666643).

The spelling of 3422154400 in words is "three billion, four hundred twenty-two million, one hundred fifty-four thousand, four hundred".