4007934 has 64 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1092960.

The previous prime is 4007933. The next prime is 4007953. The reversal of 4007934 is 4397004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4007898 and 4007907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8464 + ... + 8924.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 2^4007934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

4007934 is an abundant number, since it is smaller than the sum of its proper divisors (6636546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4007934 is a wasteful number, since it uses less digits than its factorization.

4007934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4007934 is about 2001.9825174062. The cubic root of 4007934 is about 158.8449895475.

The spelling of 4007934 in words is "four million, seven thousand, nine hundred thirty-four".