3735444420 has 36 divisors (see below), whose sum is σ = 11330848620. Its totient is φ = 996118464.

The previous prime is 3735444407. The next prime is 3735444437. The reversal of 3735444420 is 244445373.

3735444420 is a `hidden beast` number, since 3 + 73 + 544 + 4 + 42 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2702336256 + 1033108164 = 51984^2 + 32142^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10376055 + ... + 10376414.

It is an arithmetic number, because the mean of its divisors is an integer number (314745795).

Almost surely, 2^3735444420 is an apocalyptic number.

3735444420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3735444420 is an abundant number, since it is smaller than the sum of its proper divisors (7595404200).

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

3735444420 is a wasteful number, since it uses less digits than its factorization.

3735444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20752484 (or 20752479 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 3735444420 is about 61118.2822075359. The cubic root of 3735444420 is about 1551.6035323285.

Adding to 3735444420 its reverse (244445373), we get a palindrome (3979889793).

The spelling of 3735444420 in words is "three billion, seven hundred thirty-five million, four hundred forty-four thousand, four hundred twenty".