3139785900 has 108 divisors (see below), whose sum is σ = 10002995184. Its totient is φ = 823536000.

The previous prime is 3139785899. The next prime is 3139785917. The reversal of 3139785900 is 95879313.

It is a happy number.

3139785900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26305 + ... + 83495.

Almost surely, 2^3139785900 is an apocalyptic number.

3139785900 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 3139785900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001497592).

3139785900 is an abundant number, since it is smaller than the sum of its proper divisors (6863209284).

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

3139785900 is a wasteful number, since it uses less digits than its factorization.

3139785900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57272 (or 57262 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 3139785900 is about 56033.7924827510. The cubic root of 3139785900 is about 1464.3110677800.

The spelling of 3139785900 in words is "three billion, one hundred thirty-nine million, seven hundred eighty-five thousand, nine hundred".