3715920 has 120 divisors (see below), whose sum is σ = 13473096. Its totient is φ = 912384.

The previous prime is 3715913. The next prime is 3715951. The reversal of 3715920 is 295173.

3715920 is a `hidden beast` number, since 3 + 71 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 3549456 = 408^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3715920² = 27616122892800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9162 + ... + 9558.

Almost surely, 2^3715920 is an apocalyptic number.

3715920 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 3715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736548).

3715920 is an abundant number, since it is smaller than the sum of its proper divisors (9757176).

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

3715920 is a wasteful number, since it uses less digits than its factorization.

3715920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 3715920 is about 1927.6721712988. The cubic root of 3715920 is about 154.8895501732.

The spelling of 3715920 in words is "three million, seven hundred fifteen thousand, nine hundred twenty".