3400407 has 8 divisors (see below), whose sum is σ = 5037680. Its totient is φ = 2266920.

The previous prime is 3400399. The next prime is 3400409. The reversal of 3400407 is 7040043.

It is not a de Polignac number, because 3400407 - 2³ = 3400399 is a prime.

It is a Duffinian number.

3400407 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3400407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400409) 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, 62944 + ... + 62997.

It is an arithmetic number, because the mean of its divisors is an integer number (629710).

Almost surely, 2^3400407 is an apocalyptic number.

3400407 is a deficient number, since it is larger than the sum of its proper divisors (1637273).

3400407 is a wasteful number, since it uses less digits than its factorization.

3400407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125950 (or 125944 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3400407 is about 1844.0192515264. The cubic root of 3400407 is about 150.3754594174.

The spelling of 3400407 in words is "three million, four hundred thousand, four hundred seven".