37362740345 has 48 divisors (see below), whose sum is σ = 53253216720. Its totient is φ = 25082942976.

The previous prime is 37362740329. The next prime is 37362740351. The reversal of 37362740345 is 54304726373.

It can be written as a sum of positive squares in 8 ways, for example, as 4726150009 + 32636590336 = 68747^2 + 180656^2 .

It is not a de Polignac number, because 37362740345 - 2⁴ = 37362740329 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37362740296 and 37362740305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6606539 + ... + 6612191.

It is an arithmetic number, because the mean of its divisors is an integer number (1109442015).

Almost surely, 2^37362740345 is an apocalyptic number.

37362740345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37362740345 is a deficient number, since it is larger than the sum of its proper divisors (15890476375).

37362740345 is a wasteful number, since it uses less digits than its factorization.

37362740345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 44.

The spelling of 37362740345 in words is "thirty-seven billion, three hundred sixty-two million, seven hundred forty thousand, three hundred forty-five".