3462122400 has 288 divisors, whose sum is σ = 12374208000. Its totient is φ = 833817600.

The previous prime is 3462122387. The next prime is 3462122401. The reversal of 3462122400 is 42212643.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3462122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5253271 + ... + 5253929.

It is an arithmetic number, because the mean of its divisors is an integer number (42966000).

Almost surely, 2^3462122400 is an apocalyptic number.

3462122400 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 3462122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104000).

3462122400 is an abundant number, since it is smaller than the sum of its proper divisors (8912085600).

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

3462122400 is a wasteful number, since it uses less digits than its factorization.

3462122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3462122400 is about 58839.8028548703. The cubic root of 3462122400 is about 1512.7975272440.

The spelling of 3462122400 in words is "three billion, four hundred sixty-two million, one hundred twenty-two thousand, four hundred".