3697680 has 160 divisors (see below), whose sum is σ = 13713408. Its totient is φ = 806400.

The previous prime is 3697657. The next prime is 3697691. The reversal of 3697680 is 867963.

It is a super-3 number, since 3×3697680³ (a number of 21 digits) contains 333 as substring.

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, 52045 + ... + 52115.

Almost surely, 2^3697680 is an apocalyptic number.

3697680 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 3697680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856704).

3697680 is an abundant number, since it is smaller than the sum of its proper divisors (10015728).

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

3697680 is a wasteful number, since it uses less digits than its factorization.

3697680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3697680 is about 1922.9352563204. The cubic root of 3697680 is about 154.6357036050.

The spelling of 3697680 in words is "three million, six hundred ninety-seven thousand, six hundred eighty".