3746953 has 24 divisors (see below), whose sum is σ = 4862592. Its totient is φ = 2813184.

The previous prime is 3746929. The next prime is 3746969. The reversal of 3746953 is 3596473.

3746953 is a nontrivial binomial coefficient, being equal to C(2738, 2).

It is not a de Polignac number, because 3746953 - 2⁵ = 3746921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

Its product of digits (68040) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (3746983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101251 + ... + 101287.

It is an arithmetic number, because the mean of its divisors is an integer number (202608).

Almost surely, 2^3746953 is an apocalyptic number.

3746953 is the 2737-th triangular number and also the 1369-th hexagonal number.

3746953 is the 913-rd centered nonagonal number.

It is an amenable number.

3746953 is a deficient number, since it is larger than the sum of its proper divisors (1115639).

3746953 is a wasteful number, since it uses less digits than its factorization.

3746953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 3746953 is about 1935.7047812102. The cubic root of 3746953 is about 155.3195350626.

The spelling of 3746953 in words is "three million, seven hundred forty-six thousand, nine hundred fifty-three".