3444392640 has 448 divisors, whose sum is σ = 12617256960. Its totient is φ = 789626880.

The previous prime is 3444392629. The next prime is 3444392647. The reversal of 3444392640 is 462934443.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3444392647) by changing a digit.

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, 11219367 + ... + 11219673.

It is an arithmetic number, because the mean of its divisors is an integer number (28163520).

Almost surely, 2^3444392640 is an apocalyptic number.

3444392640 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 3444392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308628480).

3444392640 is an abundant number, since it is smaller than the sum of its proper divisors (9172864320).

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

3444392640 is a wasteful number, since it uses less digits than its factorization.

3444392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The square root of 3444392640 is about 58688.9481929946. The cubic root of 3444392640 is about 1510.2107274288.

The spelling of 3444392640 in words is "three billion, four hundred forty-four million, three hundred ninety-two thousand, six hundred forty".