3146648400 has 720 divisors, whose sum is σ = 13384500480. Its totient is φ = 669081600.

The previous prime is 3146648399. The next prime is 3146648419. The reversal of 3146648400 is 48466413.

3146648400 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 648 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35355556 + ... + 35355644.

It is an arithmetic number, because the mean of its divisors is an integer number (18589584).

Almost surely, 2^3146648400 is an apocalyptic number.

3146648400 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 3146648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692250240).

3146648400 is an abundant number, since it is smaller than the sum of its proper divisors (10237852080).

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

3146648400 is a wasteful number, since it uses less digits than its factorization.

3146648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3146648400 is about 56094.9944290932. The cubic root of 3146648400 is about 1465.3771194995.

The spelling of 3146648400 in words is "three billion, one hundred forty-six million, six hundred forty-eight thousand, four hundred".