3049358400 has 1008 divisors, whose sum is σ = 13207154688. Its totient is φ = 684288000.

The previous prime is 3049358387. The next prime is 3049358407. The reversal of 3049358400 is 48539403.

3049358400 is a `hidden beast` number, since 30 + 49 + 3 + 584 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3049358407) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 98366385 + ... + 98366415.

It is an arithmetic number, because the mean of its divisors is an integer number (13102336).

Almost surely, 2^3049358400 is an apocalyptic number.

3049358400 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 3049358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603577344).

3049358400 is an abundant number, since it is smaller than the sum of its proper divisors (10157796288).

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

3049358400 is a wasteful number, since it uses less digits than its factorization.

3049358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3049358400 is about 55220.9960069537. The cubic root of 3049358400 is about 1450.1162649540.

The spelling of 3049358400 in words is "three billion, forty-nine million, three hundred fifty-eight thousand, four hundred".