3439968000 has 288 divisors, whose sum is σ = 13060669440. Its totient is φ = 786124800.

The previous prime is 3439967987. The next prime is 3439968001. The reversal of 3439968000 is 8699343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439968001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669441 + ... + 674559.

Almost surely, 2^3439968000 is an apocalyptic number.

3439968000 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 3439968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530334720).

3439968000 is an abundant number, since it is smaller than the sum of its proper divisors (9620701440).

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

3439968000 is an equidigital number, since it uses as much as digits as its factorization.

3439968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3439968000 is about 58651.2403960905. The cubic root of 3439968000 is about 1509.5637820106.

The spelling of 3439968000 in words is "three billion, four hundred thirty-nine million, nine hundred sixty-eight thousand".