3691740672 has 320 divisors, whose sum is σ = 12091368960. Its totient is φ = 1106214912.

The previous prime is 3691740659. The next prime is 3691740707. The reversal of 3691740672 is 2760471963.

It is a super-3 number, since 3×3691740672³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5404843 + ... + 5405525.

It is an arithmetic number, because the mean of its divisors is an integer number (37785528).

Almost surely, 2^3691740672 is an apocalyptic number.

3691740672 is a gapful number since it is divisible by the number (32) 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 3691740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045684480).

3691740672 is an abundant number, since it is smaller than the sum of its proper divisors (8399628288).

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

3691740672 is a wasteful number, since it uses less digits than its factorization.

3691740672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 728 counting only the distinct ones).

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

The square root of 3691740672 is about 60759.6961151058. The cubic root of 3691740672 is about 1545.5286568666.

The spelling of 3691740672 in words is "three billion, six hundred ninety-one million, seven hundred forty thousand, six hundred seventy-two".