3725116416 has 396 divisors, whose sum is σ = 12795952572. Its totient is φ = 1040449536.

The previous prime is 3725116411. The next prime is 3725116429. The reversal of 3725116416 is 6146115273.

3725116416 is a `hidden beast` number, since 3 + 7 + 2 + 5 + 1 + 1 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 834978816 + 2890137600 = 28896^2 + 53760^2 .

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 (3725116411) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32965576 + ... + 32965688.

Almost surely, 2^3725116416 is an apocalyptic number.

3725116416 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 3725116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397976286).

3725116416 is an abundant number, since it is smaller than the sum of its proper divisors (9070836156).

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

3725116416 is a wasteful number, since it uses less digits than its factorization.

3725116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3725116416 is about 61033.7317882497. The cubic root of 3725116416 is about 1550.1722203367.

The spelling of 3725116416 in words is "three billion, seven hundred twenty-five million, one hundred sixteen thousand, four hundred sixteen".