3400737400737 has 6 divisors (see below), whose sum is σ = 4912176245522. Its totient is φ = 2267158267152.

The previous prime is 3400737400727. The next prime is 3400737400763. The reversal of 3400737400737 is 7370047370043.

It can be written as a sum of positive squares in only one way, i.e., 3233005379136 + 167732021601 = 1798056^2 + 409551^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3400737400737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3400737400692 and 3400737400701.

It is not an unprimeable number, because it can be changed into a prime (3400737400727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188929855588 + ... + 188929855605.

Almost surely, 2^{3400737400737} is an apocalyptic number.

It is an amenable number.

3400737400737 is a deficient number, since it is larger than the sum of its proper divisors (1511438844785).

3400737400737 is a wasteful number, since it uses less digits than its factorization.

3400737400737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377859711199 (or 377859711196 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 45.

The spelling of 3400737400737 in words is "three trillion, four hundred billion, seven hundred thirty-seven million, four hundred thousand, seven hundred thirty-seven".