1378957824 has 160 divisors (see below), whose sum is σ = 4260263040. Its totient is φ = 439566336.

The previous prime is 1378957819. The next prime is 1378957837. The reversal of 1378957824 is 4287598731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315784 + ... + 320120.

It is an arithmetic number, because the mean of its divisors is an integer number (26626644).

Almost surely, 2^1378957824 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 1378957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130131520).

1378957824 is an abundant number, since it is smaller than the sum of its proper divisors (2881305216).

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

1378957824 is an equidigital number, since it uses as much as digits as its factorization.

1378957824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4365 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 1378957824 is about 37134.3213752453. The cubic root of 1378957824 is about 1113.0559470863.

The spelling of 1378957824 in words is "one billion, three hundred seventy-eight million, nine hundred fifty-seven thousand, eight hundred twenty-four".