3735844416 has 140 divisors (see below), whose sum is σ = 11374100188. Its totient is φ = 1211563008.

The previous prime is 3735844403. The next prime is 3735844447. The reversal of 3735844416 is 6144485373.

3735844416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3033806400 + 702038016 = 55080^2 + 26496^2 .

It is a super-3 number, since 3×3735844416³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 182070 + ... + 201546.

Almost surely, 2^3735844416 is an apocalyptic number.

3735844416 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 3735844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687050094).

3735844416 is an abundant number, since it is smaller than the sum of its proper divisors (7638255772).

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

3735844416 is a wasteful number, since it uses less digits than its factorization.

3735844416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19538 (or 19519 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3735844416 is about 61121.5544304953. The cubic root of 3735844416 is about 1551.6589128924.

The spelling of 3735844416 in words is "three billion, seven hundred thirty-five million, eight hundred forty-four thousand, four hundred sixteen".