1383541740 has 288 divisors, whose sum is σ = 5019356160. Its totient is φ = 301874688.

The previous prime is 1383541739. The next prime is 1383541763. The reversal of 1383541740 is 471453831.

It is a happy number.

1383541740 is a `hidden beast` number, since 138 + 354 + 174 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1383541695 and 1383541704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2750329 + ... + 2750831.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^1383541740 is an apocalyptic number.

1383541740 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 1383541740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509678080).

1383541740 is an abundant number, since it is smaller than the sum of its proper divisors (3635814420).

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

1383541740 is a wasteful number, since it uses less digits than its factorization.

1383541740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1383541740 is about 37195.9909130003. The cubic root of 1383541740 is about 1114.2879189869.

The spelling of 1383541740 in words is "one billion, three hundred eighty-three million, five hundred forty-one thousand, seven hundred forty".