3949070112 has 240 divisors, whose sum is σ = 12601733760. Its totient is φ = 1205964288.

The previous prime is 3949070107. The next prime is 3949070113. The reversal of 3949070112 is 2110709493.

3949070112 is a `hidden beast` number, since 394 + 90 + 70 + 112 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3949070113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5492089 + ... + 5492807.

It is an arithmetic number, because the mean of its divisors is an integer number (52507224).

Almost surely, 2^3949070112 is an apocalyptic number.

3949070112 is a gapful number since it is divisible by the number (32) 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 3949070112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300866880).

3949070112 is an abundant number, since it is smaller than the sum of its proper divisors (8652663648).

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

3949070112 is a wasteful number, since it uses less digits than its factorization.

3949070112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3949070112 is about 62841.6272227255. The cubic root of 3949070112 is about 1580.6350745085.

The spelling of 3949070112 in words is "three billion, nine hundred forty-nine million, seventy thousand, one hundred twelve".