1396921344 has 352 divisors, whose sum is σ = 4842055680. Its totient is φ = 347701248.

The previous prime is 1396921327. The next prime is 1396921367. The reversal of 1396921344 is 4431296931.

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

It is a junction number, because it is equal to n+sod(n) for n = 1396921296 and 1396921305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311357 + ... + 5311619.

It is an arithmetic number, because the mean of its divisors is an integer number (13755840).

Almost surely, 2^1396921344 is an apocalyptic number.

1396921344 is a gapful number since it is divisible by the number (14) 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 1396921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421027840).

1396921344 is an abundant number, since it is smaller than the sum of its proper divisors (3445134336).

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

1396921344 is a wasteful number, since it uses less digits than its factorization.

1396921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 1396921344 is about 37375.4109542624. The cubic root of 1396921344 is about 1117.8683263545.

The spelling of 1396921344 in words is "one billion, three hundred ninety-six million, nine hundred twenty-one thousand, three hundred forty-four".