3761694720 has 720 divisors, whose sum is σ = 16104013380. Its totient is φ = 809238528.

The previous prime is 3761694697. The next prime is 3761694733. The reversal of 3761694720 is 274961673.

3761694720 is a `hidden beast` number, since 3 + 7 + 616 + 9 + 4 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3739567104 + 22127616 = 61152^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 221276152 + ... + 221276168.

Almost surely, 2^3761694720 is an apocalyptic number.

3761694720 is a gapful number since it is divisible by the number (30) 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 3761694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052006690).

3761694720 is an abundant number, since it is smaller than the sum of its proper divisors (12342318660).

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

3761694720 is an equidigital number, since it uses as much as digits as its factorization.

3761694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3761694720 is about 61332.6562281465. The cubic root of 3761694720 is about 1555.2296087438.

The spelling of 3761694720 in words is "three billion, seven hundred sixty-one million, six hundred ninety-four thousand, seven hundred twenty".