1389013920 has 480 divisors, whose sum is σ = 5716884096. Its totient is φ = 311040000.

The previous prime is 1389013919. The next prime is 1389013921. The reversal of 1389013920 is 293109831.

It is an interprime number because it is at equal distance from previous prime (1389013919) and next prime (1389013921).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1389013921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5533795 + ... + 5534045.

Almost surely, 2^1389013920 is an apocalyptic number.

1389013920 is a gapful number since it is divisible by the number (10) 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 1389013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858442048).

1389013920 is an abundant number, since it is smaller than the sum of its proper divisors (4327870176).

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

1389013920 is a wasteful number, since it uses less digits than its factorization.

1389013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1389013920 is about 37269.4770556282. The cubic root of 1389013920 is about 1115.7550624439.

1389013920 divided by its sum of digits (36) gives a triangular number (38583720 = T₈₇₈₄).

The spelling of 1389013920 in words is "one billion, three hundred eighty-nine million, thirteen thousand, nine hundred twenty".