3229642944 has 252 divisors, whose sum is σ = 10276484400. Its totient is φ = 968985600.

The previous prime is 3229642937. The next prime is 3229642951. The reversal of 3229642944 is 4492469223.

It is an interprime number because it is at equal distance from previous prime (3229642937) and next prime (3229642951).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3229642944.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10384549 + ... + 10384859.

It is an arithmetic number, because the mean of its divisors is an integer number (40779700).

Almost surely, 2^3229642944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3229642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138242200).

3229642944 is an abundant number, since it is smaller than the sum of its proper divisors (7046841456).

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

3229642944 is a wasteful number, since it uses less digits than its factorization.

3229642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 476 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3229642944 is about 56829.9475980754. The cubic root of 3229642944 is about 1478.1488518956.

The spelling of 3229642944 in words is "three billion, two hundred twenty-nine million, six hundred forty-two thousand, nine hundred forty-four".