3148413840 has 320 divisors, whose sum is σ = 12741684480. Its totient is φ = 704471040.

The previous prime is 3148413839. The next prime is 3148413859. The reversal of 3148413840 is 483148413.

3148413840 is a `hidden beast` number, since 3 + 1 + 484 + 138 + 40 = 666.

It is a super-3 number, since 3×3148413840³ (a number of 29 digits) contains 333 as substring.

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 = 3148413795 and 3148413804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303784 + ... + 313976.

It is an arithmetic number, because the mean of its divisors is an integer number (39817764).

Almost surely, 2^3148413840 is an apocalyptic number.

3148413840 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 3148413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370842240).

3148413840 is an abundant number, since it is smaller than the sum of its proper divisors (9593270640).

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

3148413840 is a wasteful number, since it uses less digits than its factorization.

3148413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10239 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3148413840 is about 56110.7283859335. The cubic root of 3148413840 is about 1465.6511202119.

The spelling of 3148413840 in words is "three billion, one hundred forty-eight million, four hundred thirteen thousand, eight hundred forty".