1234379328 has 448 divisors, whose sum is σ = 4325916672. Its totient is φ = 301916160.

The previous prime is 1234379323. The next prime is 1234379357. The reversal of 1234379328 is 8239734321.

It is a tau number, because it is divible by the number of its divisors (448).

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

Its product of digits (217728) is a multiple of the sum of its prime factors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 1234379328.

It is not an unprimeable number, because it can be changed into a prime (1234379323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23290150 + ... + 23290202.

It is an arithmetic number, because the mean of its divisors is an integer number (9656064).

Almost surely, 2^1234379328 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 1234379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162958336).

1234379328 is an abundant number, since it is smaller than the sum of its proper divisors (3091537344).

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

1234379328 is a wasteful number, since it uses less digits than its factorization.

1234379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 1234379328 is about 35133.7348996659. The cubic root of 1234379328 is about 1072.7113604771.

The spelling of 1234379328 in words is "one billion, two hundred thirty-four million, three hundred seventy-nine thousand, three hundred twenty-eight".