3791424 has 168 divisors, whose sum is σ = 12972288. Its totient is φ = 967680.

The previous prime is 3791423. The next prime is 3791429. The reversal of 3791424 is 4241973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

Its product of digits (6048) is a multiple of the sum of its prime divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 3791391 and 3791400.

It is not an unprimeable number, because it can be changed into a prime (3791423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122289 + ... + 122319.

It is an arithmetic number, because the mean of its divisors is an integer number (77216).

Almost surely, 2^3791424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486144).

3791424 is an abundant number, since it is smaller than the sum of its proper divisors (9180864).

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

3791424 is a wasteful number, since it uses less digits than its factorization.

3791424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3791424 is about 1947.1579288799. The cubic root of 3791424 is about 155.9315939399.

Subtracting from 3791424 its product of digits (6048), we obtain a triangular number (3785376 = T₂₇₅₁).

The spelling of 3791424 in words is "three million, seven hundred ninety-one thousand, four hundred twenty-four".