3734004040007 has 8 divisors (see below), whose sum is σ = 3956127039216. Its totient is φ = 3512156118912.

The previous prime is 3734004039989. The next prime is 3734004040031. The reversal of 3734004040007 is 7000404004373.

3734004040007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3734004040007 - 2¹⁶ = 3734003974471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734004040807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68741573 + ... + 68795870.

It is an arithmetic number, because the mean of its divisors is an integer number (494515879902).

Almost surely, 2^{3734004040007} is an apocalyptic number.

3734004040007 is a deficient number, since it is larger than the sum of its proper divisors (222122999209).

3734004040007 is a wasteful number, since it uses less digits than its factorization.

3734004040007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137539057.

The product of its (nonzero) digits is 28224, while the sum is 32.

The spelling of 3734004040007 in words is "three trillion, seven hundred thirty-four billion, four million, forty thousand, seven".