3909670416 has 100 divisors (see below), whose sum is σ = 11621693292. Its totient is φ = 1267985664.

The previous prime is 3909670411. The next prime is 3909670439. The reversal of 3909670416 is 6140769093.

It can be written as a sum of positive squares in 2 ways, for example, as 3571257600 + 338412816 = 59760^2 + 18396^2 .

It is a super-2 number, since 2×3909670416² = 30571045523491226112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3909670411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7186 + ... + 88718.

Almost surely, 2^3909670416 is an apocalyptic number.

3909670416 is a gapful number since it is divisible by the number (36) 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 3909670416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810846646).

3909670416 is an abundant number, since it is smaller than the sum of its proper divisors (7712022876).

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

3909670416 is a wasteful number, since it uses less digits than its factorization.

3909670416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81590 (or 81575 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3909670416 is about 62527.3573406073. The cubic root of 3909670416 is about 1575.3608533718.

The spelling of 3909670416 in words is "three billion, nine hundred nine million, six hundred seventy thousand, four hundred sixteen".