3400737007 has 24 divisors (see below), whose sum is σ = 3587759952. Its totient is φ = 3222374400.

The previous prime is 3400736981. The next prime is 3400737019. The reversal of 3400737007 is 7007370043.

It is not a de Polignac number, because 3400737007 - 2⁷ = 3400736879 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3400737007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400732007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16117132 + ... + 16117342.

It is an arithmetic number, because the mean of its divisors is an integer number (149489998).

Almost surely, 2^3400737007 is an apocalyptic number.

3400737007 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3400737007 is a deficient number, since it is larger than the sum of its proper divisors (187022945).

3400737007 is a wasteful number, since it uses less digits than its factorization.

3400737007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 31.

The square root of 3400737007 is about 58315.8383888974. The cubic root of 3400737007 is about 1503.8032386929.

The spelling of 3400737007 in words is "three billion, four hundred million, seven hundred thirty-seven thousand, seven".