3138920640 has 224 divisors, whose sum is σ = 11344777920. Its totient is φ = 816537600.

The previous prime is 3138920623. The next prime is 3138920651. The reversal of 3138920640 is 460298313.

3138920640 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 9 + 2 + 0 + 640 = 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 = 3138920595 and 3138920604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349810 + ... + 358670.

It is an arithmetic number, because the mean of its divisors is an integer number (50646330).

Almost surely, 2^3138920640 is an apocalyptic number.

3138920640 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 3138920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672388960).

3138920640 is an abundant number, since it is smaller than the sum of its proper divisors (8205857280).

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

3138920640 is a wasteful number, since it uses less digits than its factorization.

3138920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3138920640 is about 56026.0710740991. The cubic root of 3138920640 is about 1464.1765441490.

The spelling of 3138920640 in words is "three billion, one hundred thirty-eight million, nine hundred twenty thousand, six hundred forty".