3138052320 has 384 divisors, whose sum is σ = 12009876480. Its totient is φ = 760596480.

The previous prime is 3138052319. The next prime is 3138052343. The reversal of 3138052320 is 232508313.

3138052320 is a `hidden beast` number, since 3 + 138 + 0 + 523 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3986967 + ... + 3987753.

It is an arithmetic number, because the mean of its divisors is an integer number (31275720).

Almost surely, 2^3138052320 is an apocalyptic number.

3138052320 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 3138052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004938240).

3138052320 is an abundant number, since it is smaller than the sum of its proper divisors (8871824160).

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

3138052320 is a wasteful number, since it uses less digits than its factorization.

3138052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3138052320 is about 56018.3212886641. The cubic root of 3138052320 is about 1464.0415199189.

The spelling of 3138052320 in words is "three billion, one hundred thirty-eight million, fifty-two thousand, three hundred twenty".