3138589440 has 216 divisors, whose sum is σ = 12410824608. Its totient is φ = 717373440.

The previous prime is 3138589439. The next prime is 3138589459. The reversal of 3138589440 is 449858313.

3138589440 is a `hidden beast` number, since 31 + 38 + 589 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61180 + ... + 100100.

Almost surely, 2^3138589440 is an apocalyptic number.

3138589440 is a gapful number since it is divisible by the number (30) 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 3138589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205412304).

3138589440 is an abundant number, since it is smaller than the sum of its proper divisors (9272235168).

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

3138589440 is a wasteful number, since it uses less digits than its factorization.

3138589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38955 (or 38938 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3138589440 is about 56023.1152293408. The cubic root of 3138589440 is about 1464.1250453077.

The spelling of 3138589440 in words is "three billion, one hundred thirty-eight million, five hundred eighty-nine thousand, four hundred forty".