3756960 has 72 divisors (see below), whose sum is σ = 12825540. Its totient is φ = 1001472.

The previous prime is 3756947. The next prime is 3756989. The reversal of 3756960 is 696573.

It is a happy number.

3756960 is a `hidden beast` number, since 37 + 569 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 24336 = 1932^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3756960² = 28229496883200, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3 + 7⁶ + 5⁹ + 6 + 9⁴ + 6⁸ + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136 + ... + 2744.

Almost surely, 2^3756960 is an apocalyptic number.

3756960 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 3756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412770).

3756960 is an abundant number, since it is smaller than the sum of its proper divisors (9068580).

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

3756960 is a wasteful number, since it uses less digits than its factorization.

3756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3756960 is about 1938.2879043114. The cubic root of 3756960 is about 155.4576829534.

The spelling of 3756960 in words is "three million, seven hundred fifty-six thousand, nine hundred sixty".