3440052000 has 1152 divisors, whose sum is σ = 16337438208. Its totient is φ = 663552000.

The previous prime is 3440051981. The next prime is 3440052013. The reversal of 3440052000 is 2500443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47123964 + ... + 47124036.

It is an arithmetic number, because the mean of its divisors is an integer number (14181804).

Almost surely, 2^3440052000 is an apocalyptic number.

3440052000 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 3440052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168719104).

3440052000 is an abundant number, since it is smaller than the sum of its proper divisors (12897386208).

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

3440052000 is a wasteful number, since it uses less digits than its factorization.

3440052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3440052000 is about 58651.9564891061. The cubic root of 3440052000 is about 1509.5760691719.

Adding to 3440052000 its reverse (2500443), we get a palindrome (3442552443).

The spelling of 3440052000 in words is "three billion, four hundred forty million, fifty-two thousand".