3440994816 has 240 divisors, whose sum is σ = 10775872800. Its totient is φ = 972840960.

The previous prime is 3440994793. The next prime is 3440994841. The reversal of 3440994816 is 6184990443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9859410 + ... + 9859758.

It is an arithmetic number, because the mean of its divisors is an integer number (44899470).

Almost surely, 2^3440994816 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 3440994816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387936400).

3440994816 is an abundant number, since it is smaller than the sum of its proper divisors (7334877984).

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

3440994816 is a wasteful number, since it uses less digits than its factorization.

3440994816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3440994816 is about 58659.9933174221. The cubic root of 3440994816 is about 1509.7139665513.

The spelling of 3440994816 in words is "three billion, four hundred forty million, nine hundred ninety-four thousand, eight hundred sixteen".