3149924400 has 360 divisors, whose sum is σ = 12568957440. Its totient is φ = 715599360.

The previous prime is 3149924341. The next prime is 3149924417. The reversal of 3149924400 is 44299413.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6022539 + ... + 6023061.

Almost surely, 2^3149924400 is an apocalyptic number.

3149924400 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 3149924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284478720).

3149924400 is an abundant number, since it is smaller than the sum of its proper divisors (9419033040).

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

3149924400 is a wasteful number, since it uses less digits than its factorization.

3149924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3149924400 is about 56124.1872992385. The cubic root of 3149924400 is about 1465.8854816067.

The spelling of 3149924400 in words is "three billion, one hundred forty-nine million, nine hundred twenty-four thousand, four hundred".