3765436416 has 336 divisors, whose sum is σ = 13421766400. Its totient is φ = 1019215872.

The previous prime is 3765436399. The next prime is 3765436417. The reversal of 3765436416 is 6146345673.

3765436416 is a `hidden beast` number, since 37 + 6 + 543 + 64 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3765436416² = 28357022805877850112, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3765436417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198180855 + ... + 198180873.

Almost surely, 2^3765436416 is an apocalyptic number.

3765436416 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 3765436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710883200).

3765436416 is an abundant number, since it is smaller than the sum of its proper divisors (9656329984).

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

3765436416 is an frugal number, since it uses more digits than its factorization.

3765436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 31 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3765436416 is about 61363.1519399061. The cubic root of 3765436416 is about 1555.7450916564.

The spelling of 3765436416 in words is "three billion, seven hundred sixty-five million, four hundred thirty-six thousand, four hundred sixteen".