3149280000 has 450 divisors, whose sum is σ = 11782762684. Its totient is φ = 839808000.

The previous prime is 3149279989. The next prime is 3149280011. The reversal of 3149280000 is 829413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3149279989) and next prime (3149280011).

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 629855998 + ... + 629856002.

Almost surely, 2^3149280000 is an apocalyptic number.

3149280000 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 3149280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891381342).

3149280000 is an abundant number, since it is smaller than the sum of its proper divisors (8633482684).

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

3149280000 is an frugal number, since it uses more digits than its factorization.

3149280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3149280000 is about 56118.4461652316. The cubic root of 3149280000 is about 1465.7855129612.

Multiplying 3149280000 by its sum of digits (27), we get a 4-th power (85030560000 = 540⁴).

3149280000 divided by its sum of digits (27) gives a square (116640000 = 10800²).

Multiplying 3149280000 by its product of nonzero digits (1728), we get a square (5441955840000 = 2332800²).

3149280000 divided by its product of nonzero digits (1728) gives a square (1822500 = 1350²).

The spelling of 3149280000 in words is "three billion, one hundred forty-nine million, two hundred eighty thousand".