34006400037 has 12 divisors (see below), whose sum is σ = 49237036524. Its totient is φ = 22617080640.

The previous prime is 34006400027. The next prime is 34006400039. The reversal of 34006400037 is 73000460043.

It can be written as a sum of positive squares in 2 ways, for example, as 493239681 + 33513160356 = 22209^2 + 183066^2 .

It is not a de Polignac number, because 34006400037 - 2⁸ = 34006399781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34006400039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4483728 + ... + 4491305.

It is an arithmetic number, because the mean of its divisors is an integer number (4103086377).

Almost surely, 2^34006400037 is an apocalyptic number.

It is an amenable number.

34006400037 is a deficient number, since it is larger than the sum of its proper divisors (15230636487).

34006400037 is a wasteful number, since it uses less digits than its factorization.

34006400037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975460 (or 8975457 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 34006400037 in words is "thirty-four billion, six million, four hundred thousand, thirty-seven".