3249114000 has 320 divisors, whose sum is σ = 12033515520. Its totient is φ = 745920000.

The previous prime is 3249113993. The next prime is 3249114031. The reversal of 3249114000 is 4119423.

It is a Cunningham number, because it is equal to 57001²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1252705 + ... + 1255295.

It is an arithmetic number, because the mean of its divisors is an integer number (37604736).

Almost surely, 2^3249114000 is an apocalyptic number.

3249114000 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 3249114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016757760).

3249114000 is an abundant number, since it is smaller than the sum of its proper divisors (8784401520).

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

3249114000 is a wasteful number, since it uses less digits than its factorization.

3249114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3249114000 is about 57000.9999912282. Note that the first 5 decimals coincide. The cubic root of 3249114000 is about 1481.1134183026.

The spelling of 3249114000 in words is "three billion, two hundred forty-nine million, one hundred fourteen thousand".