37338006645 has 40 divisors (see below), whose sum is σ = 66968856504. Its totient is φ = 19902589056.

The previous prime is 37338006611. The next prime is 37338006653. The reversal of 37338006645 is 54660083373.

It can be written as a sum of positive squares in 4 ways, for example, as 12749571396 + 24588435249 = 112914^2 + 156807^2 .

It is not a de Polignac number, because 37338006645 - 2¹⁵ = 37337973877 is a prime.

It is a super-3 number, since 3×37338006645³ (a number of 33 digits) contains 333 as substring.

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 37338006645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 735627 + ... + 784743.

Almost surely, 2^37338006645 is an apocalyptic number.

It is an amenable number.

37338006645 is a deficient number, since it is larger than the sum of its proper divisors (29630849859).

37338006645 is a wasteful number, since it uses less digits than its factorization.

37338006645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51011 (or 51002 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 37338006645 in words is "thirty-seven billion, three hundred thirty-eight million, six thousand, six hundred forty-five".