37968345 has 40 divisors (see below), whose sum is σ = 68519880. Its totient is φ = 20113920.

The previous prime is 37968341. The next prime is 37968349. The reversal of 37968345 is 54386973.

37968345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37968341) and next prime (37968349).

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 34327881 = 1908^2 + 5859^2 .

It is not a de Polignac number, because 37968345 - 2² = 37968341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 37968345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37968341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97411 + ... + 97799.

It is an arithmetic number, because the mean of its divisors is an integer number (1712997).

Almost surely, 2^37968345 is an apocalyptic number.

It is an amenable number.

37968345 is a deficient number, since it is larger than the sum of its proper divisors (30551535).

37968345 is a wasteful number, since it uses less digits than its factorization.

37968345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 37968345 is about 6161.8459084920. The cubic root of 37968345 is about 336.1041609463.

The spelling of 37968345 in words is "thirty-seven million, nine hundred sixty-eight thousand, three hundred forty-five".