3246146400 has 576 divisors, whose sum is σ = 13055164416. Its totient is φ = 684288000.

The previous prime is 3246146399. The next prime is 3246146401. The reversal of 3246146400 is 46416423.

It is an interprime number because it is at equal distance from previous prime (3246146399) and next prime (3246146401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3246146401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11978265 + ... + 11978535.

It is an arithmetic number, because the mean of its divisors is an integer number (22665216).

Almost surely, 2^3246146400 is an apocalyptic number.

3246146400 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 3246146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527582208).

3246146400 is an abundant number, since it is smaller than the sum of its proper divisors (9809018016).

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

3246146400 is a wasteful number, since it uses less digits than its factorization.

3246146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3246146400 is about 56974.9629223223. The cubic root of 3246146400 is about 1480.6623526650.

The spelling of 3246146400 in words is "three billion, two hundred forty-six million, one hundred forty-six thousand, four hundred".