3697920 has 144 divisors (see below), whose sum is σ = 13245120. Its totient is φ = 976896.

The previous prime is 3697919. The next prime is 3697921. The reversal of 3697920 is 297963.

It is an interprime number because it is at equal distance from previous prime (3697919) and next prime (3697921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3697920² = 27349224652800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3697921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34507 + ... + 34613.

It is an arithmetic number, because the mean of its divisors is an integer number (91980).

Almost surely, 2^3697920 is an apocalyptic number.

3697920 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 3697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622560).

3697920 is an abundant number, since it is smaller than the sum of its proper divisors (9547200).

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

3697920 is a wasteful number, since it uses less digits than its factorization.

3697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3697920 is about 1922.9976599050. The cubic root of 3697920 is about 154.6390491051.

The spelling of 3697920 in words is "three million, six hundred ninety-seven thousand, nine hundred twenty".